Question

1. √28 · √27

Explanation:

Step1: Simplify each square root

Simplify $\sqrt{28}$: $\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}$
Simplify $\sqrt{27}$: $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$

Step2: Multiply the simplified square roots

Multiply $2\sqrt{7}$ and $3\sqrt{3}$:
$(2\sqrt{7}) \times (3\sqrt{3}) = 2 \times 3 \times \sqrt{7} \times \sqrt{3} = 6\sqrt{21}$

Answer:

$6\sqrt{21}$