Question

What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.

Answer 1

The simplified form of the given expression is $5\sqrt{2}$.

Given expression,

$5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}$.

We have to simplify the above expression.

So, $5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}$

First solve for the square root,

$5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2}$

$7\sqrt{2} -2\sqrt{2}$

$5\sqrt{2}$

Hence the simplified form of the given expression is $5\sqrt{2}$.

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brainly.com/question/2719671