Question

Find the square root of 5625 by factorization method std 7 class

Answer 1

Answer:

5625=5×5×5×5×3×3=5⁴×3²

√5625=5²×3=25×3=75

Answer 2

Answer:75

I hope this helps:

$\sqrt{5625} \mathrm{Factor\:the\:number:\:\\}\:5625=75^2 =\sqrt{75^2} \mathrm\\\\{Apply\:radical\:rule}:\quad\sqrt[n]{a^n}=a \sqrt{75^2}=75 =75$