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Question
$6sqrt{500}$
Step1: Simplify the radical
Factor 500 into perfect square and remainder: $500=100\times5$
$\sqrt{500}=\sqrt{100\times5}=\sqrt{100}\times\sqrt{5}=10\sqrt{5}$
Step2: Multiply by the coefficient
Multiply the simplified radical by 6:
$6\times10\sqrt{5}$
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$60\sqrt{5}$ (or approximately 134.16 if a decimal is needed)