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lesya692 [45]
2 years ago
15

" title=" \sqrt{ {4 a}^{2} + {12a}^{2} } " alt=" \sqrt{ {4 a}^{2} + {12a}^{2} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
PolarNik [594]2 years ago
8 0

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

\sqrt{ {16a}^{2} }

2) Use this rule:

\sqrt{ab}  =  \sqrt{a}  \sqrt{b}

\sqrt{16}  \sqrt{ {a}^{2} }

3) Since 4 × 4 is 16, the square root of 16 is 4.

4 \sqrt{ {a}^{2} }

4) Simplify.

4a

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>4a</u><u>.</u>

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