Simplify.
-$\frac{\sqrt{2 t^{16}}}{\sqrt{50 t^{6}}}$
A) $\frac{t^{10}}{5}$
B) $\frac{t^{5}}{\sqrt{5}}$
C) $\frac{t^{5}}{5}$
D) $\sqrt{\frac{t^{5}}{5}}$

Name: Simplify. -$\frac{\sqrt{2 t^{16}}}{\sqrt{50 t^{6}}}$ A) $\frac{t^{10}}{5}$ B) $\frac{t^{5}}{\sqrt{5}}$ C) $\frac{t^{5}}{5}$ D) $\sqrt{\frac{t^{5}}{5}}$
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Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{\sqrt{2 t^{16}}}{\sqrt{50 t^{6}}} = \frac{\sqrt{2}t^{8}}{\sqrt{50}t^{3}} = \frac{t^{5}\sqrt{2}}{\sqrt{25}\sqrt{2}} = \frac{t^{5}}{5}$, which matches option C.

Simplify - 2t1650t6\frac{\sqrt{2 t^{16}}}{\sqrt{50 t^{6}}}50t6​2t16​​ A) t105\frac{t^{10}}{5}5t10​ B) t55\frac{t^{5}}{\sqrt{5}}5​t5​ C) t55\frac{t^{5}}{5}5t5​ D) t55\sqrt{\frac{t^{5}}{5}}5t5​​

Simplify
- $\frac{\sqrt{2 t^{16}}}{\sqrt{50 t^{6}}}$ A) $\frac{t^{10}}{5}$ B) $\frac{t^{5}}{\sqrt{5}}$ C) $\frac{t^{5}}{5}$ D) $\sqrt{\frac{t^{5}}{5}}$