Question

8.5 divide radical expressions (homework)
score: 3/14 answered: 3/14
question 4
rationalize the denominator:
$\frac{20}{sqrt{2}}=$
question help: video written example

Explanation:

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

Multiply the fraction $\frac{20}{\sqrt{2}}$ by $\frac{\sqrt{2}}{\sqrt{2}}$ to rationalize the denominator. So we get $\frac{20\times\sqrt{2}}{\sqrt{2}\times\sqrt{2}}$.

Step2: Simplify the denominator

Since $\sqrt{2}\times\sqrt{2} = 2$, the expression becomes $\frac{20\sqrt{2}}{2}$.

Step3: Simplify the fraction

Divide 20 by 2. $\frac{20\sqrt{2}}{2}=10\sqrt{2}$.

Answer:

$10\sqrt{2}$