Question

1562500 square root by prime factorisation method

Answer 1

Solutions :-


By prime factorization method,

1562500 = 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5

$= {2}^{2} \times {5}^{8}$

Now,

$\sqrt{1562500} = \sqrt{ {2}^{2} \times {5}^{8} } \\ \\ = 2 \times {5}^{4} \\ \\ = 2 \times 5 \times 5 \times 5 \times 5 \\ \\ = 1250$


Hence,
The square root of 1562500 is 1250

Answer 2

$<b>Solutions :-$

By prime factorization we get,

√1562500 = 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5

Now,

√1562500 = √(2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5)

= 2 × 5 × 5 × 5 × 5

= 1250

Answer : √1562500 = 1250