Question

8.5 divide radical expressions (homework)
score: 4/14 answered: 4/14
question 5
rationalize the numerator:
$\frac{sqrt{2}}{18}=$
question help: video written example
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Explanation:

Step1: Multiply by $\sqrt{2}$ over $\sqrt{2}$

$\frac{\sqrt{2}}{18}\times\frac{\sqrt{2}}{\sqrt{2}}$

Step2: Simplify the numerator

$\frac{\sqrt{2}\times\sqrt{2}}{18\sqrt{2}}=\frac{2}{18\sqrt{2}}$

Step3: Simplify the fraction

$\frac{2}{18\sqrt{2}}=\frac{1}{9\sqrt{2}}$

Answer:

$\frac{1}{9\sqrt{2}}$