Multiply and Divide Radicals Quick Check

Question

4 of 54 of 5 Items
Question
Simplify √300
.(1 point)
Responses

10√3
10 start root 3 end root

100√3
100 start root 3 end root

5√12
5 start root 12 end root

This radical expression is already fully simplified.

Answer 1

To simplify \( \sqrt{300} \), we can factor it into its prime factors:

\[ 300 = 100 \times 3 = 10^2 \times 3 \]

Now, we can take the square root of \( 100 \):

\[ \sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3} \]

So, the simplified form of \( \sqrt{300} \) is:

10√3 (10 start root 3 end root)