What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical?
-$\sqrt[4]{x^{3} y^{5} z^{14}}$

A) $\sqrt[4]{x^{3} y z^{5}}$

B) $\sqrt[4]{x y^{2}}$

C) $\sqrt[4]{x y^{3} z^{2}}$

D) $\sqrt[4]{x y^{7} z^{2}}$

Question

What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical?
-$\sqrt[4]{x^{3} y^{5} z^{14}}$

A) $\sqrt[4]{x^{3} y z^{5}}$

B) $\sqrt[4]{x y^{2}}$

C) $\sqrt[4]{x y^{3} z^{2}}$

D) $\sqrt[4]{x y^{7} z^{2}}$

Quizplus · Accepted Answer

To eliminate the radical, the exponents of each variable inside the radical must be multiples of 4. Multiplying by $\sqrt[4]{x y^{3} z^{2}}$ will make the exponents of $x$, $y$, and $z$ equal to 4, 8, and 16, respectively, which are all multiples of 4.

What Is the Simplest Radical Expression That Can Be Multiplied x3y5z144\sqrt[4]{x^{3} y^{5} z^{14}}4x3y5z14​

What Is the Simplest Radical Expression That Can Be Multiplied $\sqrt[4]{x^{3} y^{5} z^{14}}$