To simplify \( \sqrt{300} \):
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Factor 300 into its prime factors. We have: \[ 300 = 100 \times 3 = 10^2 \times 3 \]
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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.