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Maksim231197 [3]
3 years ago
13

2\sqrt{18} +2\sqrt{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

- 4\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify \sqrt{18} using this rule

\sqrt{18}

= \sqrt{9(2)}

= \sqrt{9} × \sqrt{2} = 3\sqrt{2}

Then

- 2\sqrt{18} + 2\sqrt{2}

= - 2(3\sqrt{2} ) + 2\sqrt{2}

= - 6\sqrt{2} + 2\sqrt{2}

= - 4\sqrt{2}

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