Question 1

Simplify the following: $\sqrt[3]{750}+\sqrt[3]{48}$

Accepted Answer

$7\sqrt[3]{6}$

Answer

$2\sqrt[3]{6}$

Answer

$5\sqrt[3]{30}+4\sqrt[3]{3}$

Answer

$9\sqrt[3]{33}$

Question 2

Simplify the following: $3\sqrt{20}-2\sqrt{27}-\sqrt{80}+\sqrt{75}$

Accepted Answer

$2\sqrt{5}-\sqrt{3}$

Answer

$\sqrt{-12}$

Answer

$4\sqrt{5}-\sqrt{3}$

Answer

$2\sqrt{3}-2\sqrt{5}$

Question 3

Simplify the following: $(3\sqrt{10})(5\sqrt{3})$

Accepted Answer

$15\sqrt{30}$

Answer

$450$

Answer

$8\sqrt{13}$

Answer

$15+3\sqrt{3}+5\sqrt{10}+\sqrt{30}$

Question 4

Simplify the following: $4\sqrt{27} \cdot 6\sqrt{12}$

Accepted Answer

$432$

Answer

$10\sqrt{39}$

Answer

$24\sqrt{324}$

Answer

$18$

Question 5

Simplify the following: $\sqrt[3]{81} \left( 2+5\sqrt[3]{12} \right)$

Accepted Answer

$6\sqrt[3]{3}+15\sqrt[3]{36}$

Answer

$6\sqrt[3]{3}+5\sqrt[3]{36}$

Answer

$18+90\sqrt[3]{3}$

Answer

$2\sqrt[3]{3}+3\sqrt[3]{36}$

Question 6

Simplify the following: $\left( 2-\sqrt{10}\right) \left(\sqrt{18}+\sqrt{5}  \right)$

Accepted Answer

$\sqrt{2}-4\sqrt{5}$

Answer

$11\sqrt{2}+8\sqrt{5}$

Answer

$\sqrt{2}$

Answer

$6\sqrt{2}+2\sqrt{5}$

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