Question

$(2\sqrt{8})(\sqrt{2}) =$
select one:
a. $6\sqrt{10}$
b. 128
c. 32
d. $8\sqrt{16}$
e. none of these

rationalize $\frac{2}{2\sqrt{2}}$
select one:
a. 1
b. $\frac{\sqrt{2}}{2}$
c. $\frac{2\sqrt{2}}{2}$

Explanation:

Step1: Multiply the radicals

$(2\sqrt{8})(\sqrt{2}) = 2 \times \sqrt{8 \times 2}$

Step2: Simplify the product inside radical

$2 \times \sqrt{16}$

Step3: Evaluate the square root

$2 \times 4 = 8$
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Step1: Simplify the fraction first

$\frac{2}{2\sqrt{2}} = \frac{1}{\sqrt{2}}$

Step2: Rationalize the denominator

$\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$

Answer:

1. e. none of these
2. b. $\sqrt{2}/2$