Question

The digit in the units' place in the cube root of 21952 is 

(a) 8 

(b) 6 

(c) 4 

(d) 2

Answer 1

(a) 8

\(\therefore\) 21952 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7

= 2³ x 2³ x 7³

\(\therefore\) \(\sqrt[3]{21952}\) = \(\sqrt[3]{2^3\times2^3\times7^3}\) = 2 x 2 x 7 = 28

\(\therefore\) Digit in the units' place of \(\sqrt[3]{21952}\) = 8.