Question

find 5625 square root by prime factorzation method

Answer 1

factors of 5625 = 3*3*5*5*5*5

$\sqrt{5625} = \sqrt{3 \times 3 \times 5 \times 5 \times 5 \times 5} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 5 \times 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = 75$

√5625 = 75