Question

what is the squre root of 400 by prime factorization method

Answer 1

$\text{ Hey There !} \\ \\ \text{ Solution:} \\ \\ \text{Prime Factorisation of 400 is:} \\ \\ \implies 400 = 2 \times 2 \times 2 \times 2 \times 5 \times 5\\ \\ \implies 400 = 2^4 \times 5^2 \\ \\ \text{ Square Root of 400} = \sqrt{ 2^4 \times 5^2} \\ \\ \implies \sqrt{400} = 2^2 \times 5 = 4 \times 5 = 20 \\ \\ \boxed{ Hence \: Square \: Root \: of \: 400 \: is \: 20} \\ \\ \\ \text{Hope my answer helped ! }$

Answer 2

HOPE THIS HELPS YOU DEAR...... ☺️