How to find the square root of 2704?

We have to find the square root of 2704 in radical form

Solution

We will use prime factorisation method to find the square root

The number 2704 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 2704.

The first step is to divide the number 2704 with the smallest prime factor, say 2.
2704 ÷ 2 = 1352

Divide 1352 by 2

1,352 ÷ 2 = 676

divide 676 by 2
676 ÷ 2 = 338

divide 338 by 2
338 ÷ 2 = 169

divide 169 by 13

169÷ 13=13

Divide 13 by 13

13 ÷ 13=1

On taking all the factors we get

2704 = 2 x 2 x 2 x 2 13 x 13

√2704 = √ 2 x 2 x 2 x 2 x13 x 13

On paring we get

√2704 = √ (2 x 2 x 13)

√2704 = 52

Answer

The square root of 2704 = 52

√2704= 52

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