Rationalize the denominator. Assume all variables represent positive real numbers.
-$\frac { \sqrt { 81 } } { \sqrt { 10 } }$
A) 109
B) $\frac { 9 \sqrt { 10 } } { 10 }$
C) $\frac { 81 \sqrt { 10 } } { 10 }$
D) $9 \sqrt { 10 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply both the numerator and denominator by $\sqrt{10}$. The numerator becomes $\sqrt{81} \times \sqrt{10} = 9\sqrt{10}$, and the denominator becomes $\sqrt{10} \times \sqrt{10} = 10$, resulting in $\frac{9\sqrt{10}}{10}$.

Rationalize the Denominator 8110\frac { \sqrt { 81 } } { \sqrt { 10 } }10​81​​

Rationalize the Denominator $\frac { \sqrt { 81 } } { \sqrt { 10 } }$