Simplify 300−−−√ .(1 point) Responses 1003–√ 100 start root 3 end root 512−−√ 5 start root 12 end root 103–√ 10 start root 3 end root This radical expression is already fully simplified.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
23 days ago

To simplify \( \sqrt{300} \):

1. Factor 300 into its prime factors. We have:
\[
300 = 100 \times 3 = 10^2 \times 3
\]

2. Take the square root:
\[
\sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3}
\]

Thus, the simplified form of \( \sqrt{300} \) is \( 10\sqrt{3} \).

Therefore, the answer is:
**10√3**.