# Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set: 16

$6\sqrt[]{7}+\sqrt[4]{11}$

#### Work Step by Step

By combining like radicals, the given expression, $5\sqrt[]{7}-8\sqrt[4]{11}+\sqrt[]{7}+9\sqrt[4]{11} ,$ simplifies to \begin{array}{l}\require{cancel} (5\sqrt[]{7}+\sqrt[]{7})+(-8\sqrt[4]{11}+9\sqrt[4]{11}) \\\\= 6\sqrt[]{7}+\sqrt[4]{11} .\end{array}

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