Rationalize the denominator. Assume that all variables represent positive real numbers.
-$\sqrt{\frac{100}{3}}$
A) $10 \sqrt{3}$
B) 19
C) $\frac{100 \sqrt{3}}{3}$
D) $\frac{10 \sqrt{3}}{3}$

Question

Rationalize the denominator. Assume that all variables represent positive real numbers. 
-$\sqrt{\frac{100}{3}}$
A) $10 \sqrt{3}$
B) 19
C) $\frac{100 \sqrt{3}}{3}$
D) $\frac{10 \sqrt{3}}{3}$

Quizplus · Accepted Answer

To rationalize the denominator of $\sqrt{\frac{100}{3}}$, you multiply the numerator and the denominator inside the square root by 3 to get rid of the square root in the denominator, resulting in $\sqrt{\frac{100*3}{3*3}} = \sqrt{\frac{300}{9}} = \sqrt{\frac{100}{3}} = \frac{10\sqrt{3}}{3}$.

Rationalize the Denominator 1003\sqrt{\frac{100}{3}}3100​​ A) 10310 \sqrt{3}103​ B) 19 C) 10033\frac{100 \sqrt{3}}{3}31003​​ D) 1033\frac{10 \sqrt{3}}{3}3103​​

Rationalize the Denominator $\sqrt{\frac{100}{3}}$ A) $10 \sqrt{3}$ B) 19
C) $\frac{100 \sqrt{3}}{3}$ D) $\frac{10 \sqrt{3}}{3}$