Question

pythagorean theorem and simplifying radicals practice
14 of 32
simplify.

1. $5\sqrt{128}$

Explanation:

Step1: Factor 128 into perfect square

$128 = 64 \times 2$, where $64=8^2$

Step2: Split the radical

$5\sqrt{128} = 5\sqrt{64 \times 2} = 5\times\sqrt{64}\times\sqrt{2}$

Step3: Simplify $\sqrt{64}$

$\sqrt{64}=8$, so $5\times8\times\sqrt{2}=40\sqrt{2}$

Answer:

$40\sqrt{2}$ (filling 40 in the first blank and 2 in the second blank)