Question

1. $-5sqrt{12} + 2sqrt{147}$

Explanation:

Step1: Simplify $\sqrt{12}$

$\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}$

Step2: Simplify $\sqrt{147}$

$\sqrt{147} = \sqrt{49 \times 3} = 7\sqrt{3}$

Step3: Substitute back to expression

$-5 \times 2\sqrt{3} + 2 \times 7\sqrt{3} = -10\sqrt{3} + 14\sqrt{3}$

Step4: Combine like terms

$(-10 + 14)\sqrt{3} = 4\sqrt{3}$

Answer:

$4\sqrt{3}$