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QUESTION IMAGE

$6sqrt{500}$

Question

$6sqrt{500}$

Explanation:

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:
$6\times10\sqrt{5}$

Answer:

$60\sqrt{5}$ (or approximately 134.16 if a decimal is needed)