Question

1. what is the sum of 11√2 and √32? ____

Explanation:

Step1: Simplify $\sqrt{32}$

Factor 32 into perfect square and remainder:
$\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}$

Step2: Add like radical terms

Combine $11\sqrt{2}$ and $4\sqrt{2}$:
$11\sqrt{2} + 4\sqrt{2} = (11+4)\sqrt{2} = 15\sqrt{2}$

Answer:

$15\sqrt{2}$