Question

$\sqrt[6]{15-2\sqrt{56}}\sqrt[3]{\sqrt{7}+2\sqrt{2}}=$

• A. 0
• B. $\sqrt{2}$
• C. 1
• D. $\sqrt[6]{2}$

Answer 1

Answer: (C)

$\sqrt[3]{\sqrt{15-2\sqrt{56}}}\sqrt[3]{\sqrt{7}+2\sqrt{2}}$
$=\sqrt[3]{\sqrt{8}-\sqrt{7}}\sqrt[3]{\sqrt{7}+\sqrt{8}}=\sqrt[3]{8-7}=1$