The square root of a number is defined as the converse process of squaring that number. For example, if 7 is the square root of a number, then 7 x 7 = 49 is the square from which the square root has been determined. Square is commonly denoted with the ‘√' sign, which is well known as the radical symbol, and radicand is the term (integer) contained within it. When raised to the power of 0.5 or ‘1/2’, the integer produces the square root. This is known as the exponential form of the root. If ‘c’ is any whole number, then the root of c is (c1/2).
In this article, we shall learn the ways and determine the value of root 5. In the radical form, the root of 5 is represented as √5; if you prefer the exponential form, then you can express it as (5)0.5 or (5)1/2. We will receive a decimal number for the root of 5 since five is not a perfect square. The value of root 5 is incredibly difficult to determine, but if we apply the long division technique, we can easily compute the estimated value of root 5.
Let us utilize the long-division approach to determine the magnitude of the square root of 5 since we can concur that it is non-terminating.
In this manner, we shall calculate the approximate value of root 5. After applying the long division method, we get the decimal value of root 5 = 2.2360. The long division method is the most successful method for calculating the roots of numbers that are not perfect squares. After successive iterations using the long division method, we find out that the value of root three continues to √5 = 2.2360………and so on. This indicates that the numbers after the decimal point are non-terminating and extend to infinity. Therefore, we can concur that √5 is an irrational number.