Question

`\sqrt{ {4 a}^(2) + {12a}^(2) }`
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Answer 1

The answer is 4a

Explanation:

1) Simplify 4a² + 12a² to 16a².

`\sqrt{ {16a}^(2) }`

2) Use this rule:

`√(ab) = √(a) √(b)`

`√(16) \sqrt{ {a}^(2) }`

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

`4 \sqrt{ {a}^(2) }`

4) Simplify.

`4a`

Therefor, the answer is 4a.