Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers.
-$\sqrt{\frac{81}{10}}$

A) $\frac{9 \sqrt{10}}{10}$

B) $\frac{81 \sqrt{10}}{10}$

C) $9 \sqrt{10}$

D) 109

Question

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers.
-$\sqrt{\frac{81}{10}}$

A) $\frac{9 \sqrt{10}}{10}$

B) $\frac{81 \sqrt{10}}{10}$

C) $9 \sqrt{10}$

D) 109

Quizplus · Accepted Answer

To rationalize the denominator of $\sqrt{\frac{81}{10}}$, you multiply the numerator and the denominator inside the square root by 10 to eliminate the square root in the denominator. This results in $\sqrt{\frac{81*10}{10*10}} = \sqrt{\frac{810}{100}} = \sqrt{8.1} = \frac{9\sqrt{10}}{10}$, which matches option A.

Rationalize the Denominator and Simplify 8110\sqrt{\frac{81}{10}}1081​​ A) 91010\frac{9 \sqrt{10}}{10}10910​​ B) 811010\frac{81 \sqrt{10}}{10}108110​​ C) 9109 \sqrt{10}910​

Rationalize the Denominator and Simplify $\sqrt{\frac{81}{10}}$ A) $\frac{9 \sqrt{10}}{10}$ B) $\frac{81 \sqrt{10}}{10}$ C) $9 \sqrt{10}$