Question

Which of the following are like radicals?

Check all of the boxes that apply.

• A. $3X\sqrt{X^{2}Y}$
• B. $-12X\sqrt{X^{2}Y}$
• C. $-2X\sqrt{X{Y}^2}$
• D. $X\sqrt{Y{X}^2}$
• E. $-X\sqrt{X^2{Y}^2}$
• F. $2\sqrt{X^{2}Y}$

Answer 1

Answer: (A), (B), (C), (D), (F)

$2\sqrt{X^{2}Y}$

A radical is an expression that involves a root, usually a square root or cube root:

Therefore, all number are radicals except $\sqrt{x^2{y}^2}$, which is actually $xy$.

Hence, all are radicals except $\sqrt{x^2{y}^2}$.

Hence, only option $E$ is incorrect one.