Checkpoint: Simplifying dth - Degree Radical Expressions Solution

Checkpoint: Simplifying d^th – Degree Radical Expressions Solution

Simplify. Write answers in simplified radical form.

$\sqrt{18 x y^{5} z^{18}}$

$18 = 2 \cdot 3^{2} 2^{\frac{1}{2}} 3^{\frac{2}{2}} x^{\frac{1}{2}} y^{\frac{5}{2}} z^{\frac{18}{2}} 2^{\frac{1}{2}} {3^{1}}^{} x^{\frac{1}{2}} y^{2 \frac{1}{2}} z^{9}$

$3 y^{2} |z^{9}| \sqrt{2 x y}$

Note

Q: When are absolute value bars needed as part of your simplified answer?

A: When the index is even and the exponent of a simplified base is odd.