Question

simplify.
$4\sqrt{50} + \sqrt{32}$

Explanation:

Step1: Simplify $\sqrt{50}$

$\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}$

Step2: Simplify $\sqrt{32}$

$\sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2}$

Step3: Substitute back to original expression

$4 \times 5\sqrt{2} + 4\sqrt{2} = 20\sqrt{2} + 4\sqrt{2}$

Step4: Combine like terms

$20\sqrt{2} + 4\sqrt{2} = (20+4)\sqrt{2} = 24\sqrt{2}$

Answer:

$24\sqrt{2}$