Question

4. Evaluate:
(a) √72x√338​

Answer 1

156 is the answer

Step-by-step explanation:

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$\sqrt{72} \times \sqrt{338}$

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$\sqrt{72} \times \sqrt{338}$

$\sqrt{72 } = \sqrt{2 \times 2 \times 2 \times 3 \times 3}$

$\sqrt{338} = \sqrt{2 \times 13 \times 13}$

$\sqrt{72 \times 338}$

$\sqrt{2 \times 2 \times 2 \times 3 \times 3 \times 2 \times 13 \times 13}$

$2 \times 2 \times 3 \times 13$

$4 \times 3 \times 13$

$12 \times 13$

$156$