Find the root of the following number using prime fatorization method;

1.	Find the root of the following number using prime fatorization method;64,144 and1296
Answer» Answer: 64= 222222= (222)(222)= (2^3)^2= 8^2. So 64's root= 8 144= 222233= [(2^2)3]^2= 12^2. So 144's root= 12 1296= 22223389= [{(2^2)3}^2}89= [(43)^2]89= 12^289. So 1296's root= 12 $\sqrt{89}$ PLEASE MARK ME AS THE BRAINLIEST!

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

Answer»

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 $\sqrt{89}$

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