What is the square root of 1600?

We have to find the square root of 1600

Solution

To find the square root of 1600 we will factorise it first

Prime factorisation of 1600

Here we have to find the prime factors of 1600.

Divide 1600 by 2;

1600 ÷ 2 = 800

Divide 800 by 2

800 ÷ 2 = 400

Divide 400 by 2

400 ÷ 2 = 200

Divide 200 by 2

200 ÷ 2 = 100

Divide 100 by 2

100 ÷ 2 = 50

Divide 50 by 2

50 ÷ 2 = 25

Divide 25 by 5

25 ÷ 5 = 5

Divide 5 by 5

5 ÷ 5= 1

By prime factorisation method, we will get,

1600 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5

√1600=√(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

On paring

√1600=√{(2 x 2) (2x 2) (2 x 2) (5x 5)

√1600=(2 x 2 x 2 x 5)

√1600=40

Answer

Hence The square root of 1600 is 40

Hence, √1600 = 40

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