Question

square root of 28900 by prime factorization by showing full method

Answer 1

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Answer 2

Answer:

Square root of 28900 is 170

Step-by-step explanation:

Given a number 28900

we have to find the square root of given number using prime factorization.

The prime factorization of 28900 is

$28900=2\times 2\times 5\times 5\times 17\times 17$

$\sqrt{28900}=\sqrt{2\times 2\times 5\times 5\times 17\times 17}$

Select one for a pair of 2 to find square root.

$\sqrt{28900}=2\times 5\times 17=170$

Hence, square root of 28900 is 170