Find square root of 1082.41 by prime factorisation method .

Answer 1

that is 108241 * 10^-2
= 49 * 2209 *10^-2
= 7*7 * 47*47 * 10^-2
square root = 7 * 47 * 10^-1
square root = 329 * 10^-1 = 32.9

Answer 2

1082.41 = 108241 ÷ 100
and
108241 = 7*7*47*47

See what you can conclude from that.