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pychu [463]
3 years ago
13

Simplify-3square root2+3square root 8

Mathematics
2 answers:
ioda3 years ago
4 0

<em></em>

<em></em>

<em>Step-by-step explanation:</em>

<em>3 </em>

<em>√ </em>

<em>2 </em>

<em>2 </em>

<em>⋅ </em>

<em>2 </em>

<em>Pull terms out from under the radical. </em>

<em>3 </em>

<em>( </em>

<em>2 </em>

<em>√ </em>

<em>2 </em>

<em>) </em>

<em>Multiply  </em>

<em>2 </em>

<em> by  </em>

<em>3 </em>

<em>. </em>

<em>6 </em>

<em>√ </em>

<em>2 </em>

<em>The result can be shown in multiple forms. </em>

<em>Exact Form: </em>

<em>6 </em>

<em>√ </em>

<em>2 </em>

<em>Decimal Form: </em>

<em>8.48528137 </em>

<em>…</em>

Butoxors [25]3 years ago
3 0

For this case we must simplify the following expression:

3 \sqrt {2} +3 \sqrt {8}

We rewrite:

8 = 2 ^ 3 = 2 ^ 2 * 2\\3 \sqrt {2} +3 \sqrt {2 ^ 2 * 2} =

For properties of potecnias and roots we have that:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, rewriting the expression:

3 \sqrt {2} + 2 * 3 \sqrt {2} =\\3 \sqrt {2} +6 \sqrt {2} =\\9 \sqrt {2}

Answer:

9 \sqrt {2}

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