Question

simplify completely: $5\sqrt{7} + \sqrt{112}$
answer =
entry tip: to enter an answer like $50\sqrt{21}$, you would type 50sqrt(21). preview your answer before submitting!

Explanation:

Step1: Simplify $\sqrt{112}$

Factor 112 into $16 \times 7$, so $\sqrt{112} = \sqrt{16 \times 7} = \sqrt{16} \times \sqrt{7} = 4\sqrt{7}$

Step2: Combine like radicals

Add $5\sqrt{7}$ and $4\sqrt{7}$: $5\sqrt{7} + 4\sqrt{7} = (5+4)\sqrt{7}$

Answer:

$9\sqrt{7}$ (or 9sqrt(7) as per entry tip)