Find the square root of 2500

We have to find the square root of 2500

Solution

To find the square root of 2500 we will factorise it first

Prime factorisation of 2500

Here we have to find the prime factors of 5500.

Divide 2500 by 5;

2500 ÷ 5 = 500

Divide 500 by 5

500 ÷ 5 = 100

Divide 100 by 5

100 ÷ 5 = 20

Divide 20 by 5

20 ÷ 5 = 4

Again divide 4 by 2

4÷ 2 = 2

Again divide 2 by 2

2÷ 2 = 1

On combining factors we get

By prime factorisation method, we will get,

2500 = (5 × 5 × 5 × 5 × 2 x 2)

√2500=√(5 × 5 × 5 × 5 × 2 x 2)

On paring

√2500=√{(5 x 5) (5x 5) (2 x 2)

√2500=(5 x 5 x 2)

√2500=50

Answer

Hence The square root of 2500 is 50

Hence, √2500 = 50

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