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
