Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers.
-$\sqrt{\frac{9}{20}}$

A) $\frac{3 \sqrt{5}}{5}$

B) $3 \sqrt{5}$

C) $\frac{3 \sqrt{5}}{10}$

D) 20

Question

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers.
-$\sqrt{\frac{9}{20}}$

A) $\frac{3 \sqrt{5}}{5}$

B) $3 \sqrt{5}$

C) $\frac{3 \sqrt{5}}{10}$

D) 20

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and denominator by $\sqrt{20}$. This gives $\frac{\sqrt{9} \cdot \sqrt{20}}{20}$, which simplifies to $\frac{3 \sqrt{5}}{10}$.

Rationalize the Denominator and Simplify 920\sqrt{\frac{9}{20}}209​​ A) 355\frac{3 \sqrt{5}}{5}535​​ B) 353 \sqrt{5}35​ C) 3510\frac{3 \sqrt{5}}{10}1035​​

Rationalize the Denominator and Simplify $\sqrt{\frac{9}{20}}$ A) $\frac{3 \sqrt{5}}{5}$ B) $3 \sqrt{5}$ C) $\frac{3 \sqrt{5}}{10}$