Question

The roots of $x^{\frac{2}{3}}+x^{\frac{1}{3}}-2=0$ are:

• A. 1 or -8
• B. 1 or -2
• C. $\frac{2}{3}$ or $\frac{1}{3}$
• D. -2 or -8

Answer 1

The correct option is A 1 or -8

(A) $x^{2/3}+2x^{1/3}-x^{1/3}-2=0$
$x^{1/3}[x^{1/3}+2]-1[x^{1/3}+2]=0$
$x^{1/3}=-2$ or $x^{1/3}=1$
$x=-8$ or $1$