\( \qquad \) 6. What is the result after simplifying \( \sqrt{\frac{3}{25}} \) ? a. \( \frac{\sqrt{3}}{5} \) b. \( \frac{3}{5} \) c. \( \left(\frac{3}{5}\right)^{2} \) d. \( \frac{\sqrt{15}}{5} \) 7. What is the simplified form of \( \sqrt{32} \) ? a. \( 4 \sqrt{2} \) b. \( 2 \sqrt{4} \) c. 16 d. 4 \( \qquad \) 8. If \( \sqrt[m]{\sqrt[n]{a}}=\sqrt[m n]{a}=\sqrt[n]{\sqrt[m]{a}} \), what is the result after simplifying \( \sqrt[3]{\sqrt{64}} \) ? a. \( \frac{\sqrt{441}}{7} \) b. 2 c. \( \frac{\sqrt{70}}{7} \) d. 9 \( \qquad \) 9. We can simplify radicals through the following methods, EXCEPT: a. using the laws of radicals b. rationalizing the denominator of the radicand c. adding perfect nth power d. reducing the index to the lowest possible order \( \qquad \) 10. What is the simplified form of \( \sqrt{50 x^{2} y^{2}} \) ? a. \( 5 x y \sqrt{2 x y} \) b. \( 5 x y \sqrt{2} \) c. \( 2 x y \sqrt{5} \) d. \( 25 x y \sqrt{2} \)
Added by Joseph D.
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Step 1
- Use the property \(\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\). - Apply it: \(\sqrt{\frac{3}{25}} = \frac{\sqrt{3}}{\sqrt{25}}\). Show moreβ¦
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