Change the radical to simplest radical form. $\sqrt { 45 }$
A) 22.5
B) $5 \sqrt { 3 }$
C) $3 \sqrt { 5 }$
D) 15

Question

Quizplus · Accepted Answer

We can simplify $\sqrt { 45 }$ by factoring 45 into its prime factors: $45=3^2\cdot5$. Then, we can simplify the square root by pulling out the factors that are perfect squares. 
$$\sqrt { 45 }=\sqrt{3^2\cdot5}= \sqrt{3^2}\cdot\sqrt{5}=3\sqrt{5}$$
Therefore, the answer is choice C.

Change the Radical to Simplest Radical Form 45\sqrt { 45 }45​

Change the Radical to Simplest Radical Form $\sqrt { 45 }$