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  4. √[6]15-2 √56 √[3]√7+2 √2=

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

Real Numbers

Solution:

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