Question

question 9
evaluate:
\sqrt{1080} = \square simplify and remove all perfect squares from inside the square root.
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Explanation:

Step1: Factor 1008 into perfect square

$1008 = 144 \times 7$

Step2: Split square root using product rule

$\sqrt{1008} = \sqrt{144 \times 7} = \sqrt{144} \times \sqrt{7}$

Step3: Simplify perfect square root

$\sqrt{144} = 12$, so $\sqrt{1008} = 12\sqrt{7}$

Answer:

$12\sqrt{7}$