Question

How to find square root of 52 by prime factorzation?

Answer 1

52 is not a perfect square no.
but we can find its factors by Prime factorization method
first -- 52÷2=26
26÷2=13
13 is a prime no so it can be divided by 13 i.e
13÷13=1

so 52=2×2×13 now after grouping we see 2 can be paired and 13 is only left

root 52 is
$2 \sqrt{13}$

Answer 2

52is not a perfect square number but we can find it's factors by prime factorization method .

first of all:-52÷2=26

therefore 26÷2=13

13is a prime number so, it can be divided by 13

13÷13=1

so, 52=2×2×13

Now, 2can be paired and 13 is only left root 52 is 2√13

Step-by-step explanation:

I hope it's help you