Simplify 7 square root 2 + 5 square root 8 – InterviewSolution

1.

Simplify 7 square root 2 + 5 square root 8

Answer»

Step-by-step EXPLANATION:

$7 \sqrt{2} + 5 \sqrt{8} \\$

but $\sqrt{8} = \sqrt{4 * 2} = 2 \sqrt{2}$

∴ $5 \sqrt{8} = 5 \times 2 \sqrt{2} = 10 \sqrt{2}$

Now,

$7 \sqrt{2} + 5 \sqrt{8} \\$

$7 \sqrt{2} + 10 \sqrt{2} = 17 \sqrt{2}$

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