Find the cube root of each of the following numbers by prime factorisa

1.	Find the cube root of each of the following numbers by prime factorisation method.(i) 175616(ii) 91125
Answer» (i) Prime factorisation of 175616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 ∴ 3√175616 = 2 x 2 x 2 x 7 = 56 (ii) Prime factorisation of 91125 = 3 x 3 x 3 x 3 x 3 x 3 x5 x 5 x 5 ∴ 3√91125 = 3 x 3 x 5 = 45

Find the cube root of each of the following numbers by prime factorisation method.(i) 175616(ii) 91125

Answer»

(i) Prime factorisation of 175616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7

∴ 3√175616 = 2 x 2 x 2 x 7 = 56

(ii) Prime factorisation of 91125 = 3 x 3 x 3 x 3 x 3 x 3 x5 x 5 x 5

∴ 3√91125 = 3 x 3 x 5 = 45