Question

How to find square roots in a all three methods ​

Answer 1

Square Root Formula
We know the exponent formula: n√x x n = x1/n. When n= 2, we call it square root. We can use any of the above methods for finding the square root, such as prime factorization, long division, and so on. 91/2 = √9 = √(3×3) = 3.

Answer 2

Answer:

Three methods to find square roots:-

i. Prime Factorisation Method

For example,

$\sqrt{144} = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} \\ \sqrt{(2 \times 2) \times (2 \times 2) \times (3 \times 3)} \\ = \sqrt{144} = 2 \times 2 \times 3 \\ \sqrt{144} = 12$

ii. Definition of Square root of a number

For example,

$8 \times 8 = 64 \\ = \sqrt{64} = 8$

iii. Long division method

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