Simplify 300−−−√ .(1 point)

Question

Responses

103–√
10 start root 3 end root

This radical expression is already fully simplified.
This radical expression is already fully simplified.

1003–√
100 start root 3 end root

512−−√

Answer 1

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

\[ 300 = 100 \times 3 \]

Since \( \sqrt{100} = 10 \), we can rewrite \( \sqrt{300} \) as:

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

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

\[ 10\sqrt{3} \]

Thus, the correct response is:

10 start root 3 end root.