1 answer
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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**.