Question

simplify:

1. \\( \sqrt{72} = \\)
2. \\( \sqrt{90} = \\)
3. \\( \sqrt{102} = \\)

Explanation:

Step1: Factor out perfect square

$\sqrt{72} = \sqrt{36 \times 2}$

Step2: Simplify using root property

$\sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6\sqrt{2}$

Step1: Factor out perfect square

$\sqrt{90} = \sqrt{9 \times 10}$

Step2: Simplify using root property

$\sqrt{9 \times 10} = \sqrt{9} \times \sqrt{10} = 3\sqrt{10}$

Step1: Factor out perfect square

$\sqrt{192} = \sqrt{64 \times 3}$

Step2: Simplify using root property

$\sqrt{64 \times 3} = \sqrt{64} \times \sqrt{3} = 8\sqrt{3}$

Answer:

1. $6\sqrt{2}$
2. $3\sqrt{10}$
3. $8\sqrt{3}$