Simplify using the division property of radicals. $\frac { \sqrt { 27 z } } { \sqrt { 3 z } }$
A) $\sqrt { 3 z }$
B) $3 z$
C) 3
D) 9

Name: Simplify using the division property of radicals. $\frac { \sqrt { 27 z } } { \sqrt { 3 z } }$ A) $\sqrt { 3 z }$ B) $3 z$ C) 3 D) 9
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Question

Quizplus · Accepted Answer

The division property of radicals states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Applying this to $\frac{\sqrt{27z}}{\sqrt{3z}}$, we get $\sqrt{\frac{27z}{3z}} = \sqrt{9} = 3$.

Simplify Using the Division Property of Radicals 27z3z\frac { \sqrt { 27 z } } { \sqrt { 3 z } }3z​27z​​

Simplify Using the Division Property of Radicals $\frac { \sqrt { 27 z } } { \sqrt { 3 z } }$