Question

Find the root of the following number using prime fatorization method;64,144 and1296

Answer 1

Answer:

64= 2*2*2*2*2*2= (2*2*2)*(2*2*2)= (2^3)^2= 8^2. So 64's root= 8

144= 2*2*2*2*3*3= [(2^2)*3]^2= 12^2. So 144's root= 12

1296=  2*2*2*2*3*3*89= [{(2^2)3}^2}*89= [(4*3)^2]*89= 12^2*89. So 1296's root= 12$\sqrt{89}$

PLEASE MARK ME AS THE BRAINLIEST!

Answer 2

$\sqrt{64} = 8 \\ \\ \ \sqrt{144} = 12 \\ \\ \sqrt{1296} = 36$