Question

ent practice
contain radicals and/or rational exponents.
ve problems and checked your solutions, complete the lesson checkpoint
ve by circling your current understanding of the learning goal.
ables are positive.

1. (5sqrt{125x^{4}y^{3}z})

lesson reflection (circle one)
starting...
getting there...
got it!

Explanation:

Step1: Prime - factorize 125

$125 = 5\times5\times5=5^{3}$

Step2: Rewrite the expression

$5\sqrt{125x^{4}y^{3}z}=5\sqrt{5^{3}x^{4}y^{3}z}$

Step3: Use the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

$5\sqrt{5^{3}x^{4}y^{3}z}=5\sqrt{5^{2}\times5\times x^{4}\times y^{2}\times y\times z}$

Step4: Simplify the square - root

$5\times5x^{2}y\sqrt{5yz}=25x^{2}y\sqrt{5yz}$

Answer:

$25x^{2}y\sqrt{5yz}$