Math Tricks: How to find Cube Roots Easily?

Math tricks: How to find cube roots easily?

[{"selector":"#anim-37b0b8aa-4b39-4f0c-8b15-5f136edd3974","keyframes":{"transform":["translate3d(-115.18988%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8d33d9a9-6e1a-41ce-b40a-08b13a463274","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-227bdc82-6bdb-48c5-aefa-8aca8ebd8e3f","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] BY Team Aakash Byju's

Cube root of a natural number A natural number “m” is the cube root of a number “n”.

[{"selector":"#anim-52747965-18de-4a1c-bb6f-945e833d4df9","keyframes":{"transform":["translate3d(115.50632%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d1d90702-cce0-427e-a9af-a4bc1969335d","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3c66f595-6665-4a73-9d07-d50a8564464b","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] [{"selector":"#anim-dd1a1d7a-aae6-4311-a21d-bdbbcd66a28b [data-leaf-element=\"true\"]","keyframes":{"transform":["translate(0%, 0%) scale(1.5)","translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Click Here To

[{"selector":"#anim-3e0ad82a-f4b9-4d95-811d-d26c83f32adf","keyframes":[{"offset":0,"transform":"translate3d(0, -686.24303%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.29,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.45,"transform":"translate3d(0, -192.971540036%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.61,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.71,"transform":"translate3d(0, -65.604833668%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.8,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.85,"transform":"translate3d(0, -24.636124777%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.92,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.96,"transform":"translate3d(0, -10.705391268%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":1,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"}],"delay":0,"duration":1600,"fill":"both"}] Download Aakash App Now

Prime factorization is a method for obtaining the cube root of a given number.

[{"selector":"#anim-53dfe0e3-5576-46a3-a252-7d0a5fb56794","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-26bb6c6e-d98e-4291-a6bd-5d688447986b","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-8c4eaf4b-bb95-4644-978d-9681944639bb [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.14,.34,.47,.9)","fill":"forwards"}]

Step 1 Calculate the product of prime factors for the given number.

[{"selector":"#anim-f0aaf6c4-1ced-4260-b7d9-1a5591b85dcb","keyframes":{"opacity":[1,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-6e690b94-a1d7-4ecc-aa67-55c8c14c48bd","keyframes":{"transform":["scale(3)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-ae5ab75f-1ee4-4b8a-91ed-b40fc968ada8 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate(0%, 0%) scale(1.5)","translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Step 2 Organise the groupings into triplets with the same prime number.

[{"selector":"#anim-666e054f-88de-4b82-9616-1a9d870a4f99","keyframes":{"transform":["translate3d(-115.18988%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0a5343e9-26bb-4066-a267-d9ca5eeaaa33","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-21b15376-820f-43ba-bb7e-77e5d3fe707a","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] [{"selector":"#anim-a0bfdd7e-7faf-47bf-ae8b-9648a7c6a54c [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.14,.34,.47,.9)","fill":"forwards"}]

Step 3 Find the product of primes, choosing one from each prime.

[{"selector":"#anim-555a5182-be6b-4906-8a1d-9148ce52668b","keyframes":{"transform":["translate3d(115.50632%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-1a0204e0-7d7c-4927-ab02-7e823fe5871c","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0e5583c4-8cb3-4826-815c-5a9228a5da28","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] [{"selector":"#anim-5bc6f743-e66f-4dca-9f8f-89e97f8a32ed [data-leaf-element=\"true\"]","keyframes":{"transform":["translate(0%, 0%) scale(1.5)","translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Step 4 This product is the required cube root of the given number. Therefore cube root of 216 = 6

[{"selector":"#anim-52fab36c-b414-4249-b332-a46eed5b93a4","keyframes":{"opacity":[1,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-21a84f2a-e46b-4042-af6c-6243346f449d","keyframes":{"transform":["scale(3)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-842c499a-def5-498f-aab4-034956f7987a [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.14,.34,.47,.9)","fill":"forwards"}]

Tip 1 Cube roots of negative numbers are always negative.

[{"selector":"#anim-27439364-a2d6-4857-b5d7-43b9a65565b5","keyframes":{"transform":["translate3d(-115.18988%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-912c0fea-bbb3-49bc-9358-4f4e98bc207d","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5598f154-9af6-4321-8b4f-dd2676e42e08","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] [{"selector":"#anim-aeda8bbe-3a78-4845-ada4-ce4a1cb46849 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate(0%, 0%) scale(1.5)","translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Tip 2 The Cube root of a product of an integer can split into a cube root of two numbers.

[{"selector":"#anim-a1376030-3d58-4e06-9a07-f1410c3aece6","keyframes":{"opacity":[1,1]},"delay":0,"duration":1000,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-fb31c4e2-60f8-4a11-a3dd-3cf54ea45114","keyframes":{"transform":["scale(3)","scale(1)"]},"delay":0,"duration":1000,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-dd4ba860-e7cb-423e-96fb-7de0e47ccc81 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate(0%, 0%) scale(1.5)","translate(0%, 0%) scale(1)"]},"delay":0,"duration":1000,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Tip 3 Cube root of a rational number is obtained by taking the numerator and deniminator seperately

[{"selector":"#anim-ca6861e6-bad6-4fad-876f-7bdeb2920002","keyframes":{"transform":["translate3d(115.50632%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-51c252d4-c58f-481a-85b7-0159c40b7752","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-899fcad1-11c9-44d7-a91b-e3fa2c0db5d4","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] [{"selector":"#anim-5595b7c0-9d65-4813-831d-5c7cec47dc4a [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(0%, 0, 0) translate(25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.14,.34,.47,.9)","fill":"forwards"}]