Use the quotient rule to simplify. t 8 3 \sqrt[3]{\frac{t}{8}}

we're asked to use the quotient rule to simplify. We have here the cube root of a t over eight. Remember, we can use the quotient rule for nth roots just like we do square roots. So I can split this into the quotient of two cube roots. So this is the cube root of t over the cube root of eight. Now eight is a perfect cube. So the cube root of eight is two. So this is gonna give me here the cube root of t over two. And this is my simplified solution. Let me know if you have questions, and I'll see you in the next one.

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Prealgebra, Beginning Algebra, & Intermediate Algebra

18. Roots, Radicals, and Complex Numbers

Simplifying Radical Expressions

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Multiple Choice

Use the quotient rule to simplify.
$\sqrt[3]{\frac{t}{8}}$

$$\frac{\sqrt{t}$}{2}$

$\frac{t}{2}$

$$\frac{\sqrt{t}$}{8}$

$$\frac{^3\sqrt{t}$}{2}$

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Use the quotient rule to simplify.t83\(\sqrt\)[3]{\(\frac{t}{8}\)}

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Use the quotient rule to simplify.
$\sqrt[3]{\frac{t}{8}}$