Question

Find the cube root of : $-\frac{8}{27}$

• A. $-\frac{4}{3}$
• B. $-\frac{2}{3}$
• C. $\frac{4}{3}$
• D. $\frac{2}{3}$

Answer 1

The correct option is B $-\frac{2}{3}$

We know cube root of a negative number is negative.

We can write the given fraction as
$\frac{-8}{27}=\frac{(-1{)}^3\times 2^3}{3^3}$

Cube root of $\frac{-8}{27}=\frac{(-1)\times 2}{3}=\frac{-2}{3}$