Question

how to find square root of √7225

Answer 1

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The square root of

√7225=85

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Answer 2

Given:

A number in the square root form √(7225).

To Find:

The square root of the given number.

Solution:

The given problem can be solved using the concepts of prime factorization.

1. The given number in square root form is √(7225).

2. Prime factorization of a number is defined as reducing a given number into the product of prime numbers.

For Example: 36 is written as 2 x 2 x 3 x 3.

3. Express 7225 as the product of prime numbers,

=> 7225 = 25 x 289,

=> 7225 = 5 x 5 x 17 x 17,

=> √(7225) = √(5 x 5 x 17 x 17),

=> √(7225) = 5 x 17, (√(a x a) = a)

4. The square root of √(7225) is 17 x 5 = 85.

Therefore, the square root of √(7225) is 85.