Question

question 14
what is the product of 6 and 9\sqrt{75} in simplest radical form?
answer
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Explanation:

Step1: Multiply the coefficients

$6 \times 9 = 54$

Step2: Simplify $\sqrt{75}$

$\sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3}$

Step3: Multiply result with coefficient

$54 \times 5\sqrt{3} = 270\sqrt{3}$

Answer:

$270\sqrt{3}$