Question

Simplify : $4\sqrt{16}-6\sqrt[3]{3343}+18\sqrt[5]{5243}-\sqrt{196}$

Answer 1

$\sqrt[4]{416}-6\sqrt[3]{3343}+18\sqrt[5]{5243}-\sqrt{196}$

$=\sqrt[4]{42\times 2\times 2\times 2}-6\sqrt[3]{37\times 7\times 7}+18\sqrt[5]{53\times 3\times 3\times 3\times 3}-\sqrt{2\times 2\times 7\times 7}$

$=\sqrt[4]{4(2{)}^4}-6\sqrt[3]{37^3}+18\sqrt[5]{53^5}-2\times 7$

$=2-6\left(7\right)+18\left(3\right)-14$

$=2-42+54-14$

$=0$