Question

1. \\(\sqrt4{32} + 5\sqrt4{2}\\)

Explanation:

Step1: Simplify $\sqrt[4]{32}$

Factor 32 into a 4th power term:
$\sqrt[4]{32} = \sqrt[4]{16 \times 2} = \sqrt[4]{2^4 \times 2} = 2\sqrt[4]{2}$

Step2: Combine like radical terms

Substitute the simplified term and add:
$2\sqrt[4]{2} + 5\sqrt[4]{2} = (2+5)\sqrt[4]{2}$

Answer:

$7\sqrt[4]{2}$