Find the square root of 3600

We have to find the square root of 3600

Solution

To find the square root of 3600 we will factorise it first

Prime factorisation of 3600

Here we have to find the prime factors of 3600.

Divide 3600 by 4;

3600 ÷ 4 = 900

Divide 900 by 4

900 ÷ 4 = 225

Divide 225 by 15

225 ÷ 15 = 15

Divide 15 by 15

15÷ 15 = 1

On combining factors we get

By prime factorisation method, we will get,

3600 = (15 x 15 x 4 x 4)

√3600=√ (15 x 15 x 4 x 4)

On paring

√3600=√{(4 x 4) (15 x 15)

√3600=60

√3600=60

Answer

Hence The square root of 3600 is 60

Hence, √3600 = 60

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