Question

find the square root of 961 by using prime factorization ​

Answer 1

Step-by-step explanation:

31 is the square number of 961

Answer 2

The square root of 961 is 31.

Step-by-step explanation:

We need to find the square root of 961 by using prime factorization .

In prime factorization method we need to find the prime factors of the number which is under the root.

In $\sqrt{961}$ we have to find the prime factors of 961.

Prime factors of 961 are 31 and 31. 31 is a prime number.

$961=31\times 31$

$961=(31)^2$

Using this the given expression is be rewritten as

$\sqrt{961}=\sqrt{(31)^2}$

$\sqrt{961}=31$

Therefore, the square root of 961 is 31.

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