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6-10 divide, another onee thank you!!​

6-10 divide, another onee thank you!!​-example-1
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User UID
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Answers:

10.)
\displaystyle \pm{5}

9.)
\displaystyle 1(1)/(2)

8.)
\displaystyle \pm{1(1)/(2)}

7.)
\displaystyle \pm{1(1)/(2)}

6.)
\displaystyle \pm{(1)/(2)}

Step-by-step explanations:

10.)
\displaystyle (√(200))/(√(8)) \hookrightarrow √(25) \hookrightarrow \frac{\pm{10√(2)}}{\pm{2√(2)}} \\ \\ \boxed{\pm{5}}

9.)
\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3(3)/(8)} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1(1)/(2)}

8.)
\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5(1)/(16)} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1(1)/(2)}}

7.)
\displaystyle (√(63))/(√(28)) \hookrightarrow \sqrt{2(1)/(4)} \hookrightarrow \frac{\pm{3√(7)}}{\pm{2√(7)}} \\ \\ \boxed{\pm{1(1)/(2)}}

6.)
\displaystyle (√(12))/(√(48)) \hookrightarrow \sqrt{(1)/(4)} \hookrightarrow \frac{\pm{2√(3)}}{\pm{4√(3)}} \\ \\ \boxed{\pm{(1)/(2)}}

I am joyous to assist you at any time.

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User InvisibleWolf
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