Rationalize the denominator and simplify.
-$\frac{\sqrt{3}-10}{\sqrt{7}+4}$

A) $\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{-9}$

B) $\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{23}$

C) $\frac{\sqrt{21}-40-10 \sqrt{7}+4 \sqrt{3}}{23}$

D) $\frac{\sqrt{21}-40-10 \sqrt{7}+4 \sqrt{3}}{-9}$

Question

Rationalize the denominator and simplify.
-$\frac{\sqrt{3}-10}{\sqrt{7}+4}$

A) $\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{-9}$

B) $\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{23}$

C) $\frac{\sqrt{21}-40-10 \sqrt{7}+4 \sqrt{3}}{23}$

D) $\frac{\sqrt{21}-40-10 \sqrt{7}+4 \sqrt{3}}{-9}$

Quizplus · Accepted Answer

Multiply the numerator and denominator by $\sqrt{7}-4$.

Rationalize the Denominator and Simplify 3−107+4\frac{\sqrt{3}-10}{\sqrt{7}+4}7​+43​−10​ A) 21+40−107−43−9\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{-9}−921​+40−107​−43​​ B) 21+40−107−4323\frac{\sqrt{21}+40-10 \sqrt{7}-4 \sqrt{3}}{23}2321​+40−107​−43​​