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.

1 answer

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.