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
