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Answer:
The answer is 4a
Step-by-step explanation:
1) Simplify 4a² + 12a² to 16a².
[tex] \sqrt{ {16a}^{2} } [/tex]
2) Use this rule:
[tex] \sqrt{ab} = \sqrt{a} \sqrt{b} [/tex]
[tex] \sqrt{16} \sqrt{ {a}^{2} } [/tex]
3) Since 4 × 4 is 16, the square root of 16 is 4.
[tex]4 \sqrt{ {a}^{2} } [/tex]
4) Simplify.
[tex]4a[/tex]
Therefor, the answer is 4a.