Question

find the sqare root of 7225 by method of prime factorisation

Answer 1

Answer:7225*5

1445*5

289*17

17*17

Step-by-step explanation:

Answer 2

Concept

Prime factorization is defined as the method of finding the prime factors of a number such that the original number is  divisible by the prime factors.

Given

We have been given a number 7225 .

Find

We are asked to determine the square root of given number by prime factorization method .

Solution

It is given that 7225 .

Prime factorization of 7225 is given by

$7225=5\times 5\times 17\times 17$

Taking square roots on both sides  , we get

$\sqrt{7225} =\sqrt{5\times 5\times 17\times 17}$

As prime factorization of 7225 contains one pair of 5 and one pair of 17

On taking square root pair of 5 and 17 will written as single quantity.

$\sqrt{7225} =5\times17\\\sqrt{7225} =85$

Therefore , the square root of 7225 is 85 .

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