Question

add. write your answer in simplest form.
-8√14 + 7√56

Explanation:

Step1: Simplify $\sqrt{56}$

$\sqrt{56} = \sqrt{4 \times 14} = \sqrt{4} \times \sqrt{14} = 2\sqrt{14}$

Step2: Substitute back to expression

$-8\sqrt{14} + 7 \times 2\sqrt{14} = -8\sqrt{14} + 14\sqrt{14}$

Step3: Combine like terms

$(-8 + 14)\sqrt{14} = 6\sqrt{14}$

Answer:

$6\sqrt{14}$