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

1 answer

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

  1. First, factor \( 300 \): \[ 300 = 100 \times 3 = 10^2 \times 3 \]

  2. Now take the square root: \[ \sqrt{300} = \sqrt{10^2 \times 3} = \sqrt{10^2} \times \sqrt{3} = 10\sqrt{3} \]

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

So, the answer is \( 10\sqrt{3} \).

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