Question

1. $sqrt{42} cdot sqrt{12}$

Explanation:

Step1: Combine square roots

$\sqrt{42} \cdot \sqrt{12} = \sqrt{42 \times 12}$

Step2: Factor the product inside

$\sqrt{42 \times 12} = \sqrt{504} = \sqrt{36 \times 14}$

Step3: Simplify the square root

$\sqrt{36 \times 14} = \sqrt{36} \cdot \sqrt{14} = 6\sqrt{14}$

Answer:

$6\sqrt{14}$