Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
-$$\frac { 5 + \sqrt { 6 } } { 5 - \sqrt { 6 } }$$
A) $\frac { 19 } { 31 + 10 \sqrt { 6 } }$
B) $\frac { 19 } { 31 - 10 \sqrt { 6 } }$
C) $\frac { 31 } { 19 - 10 \sqrt { 6 } }$
D) 1

Question

Quizplus · Accepted Answer

Rationalizing the numerator involves multiplying the numerator and the denominator by the conjugate of the numerator, which is $5 - \sqrt{6}$. This results in $\frac{19}{31 - 10\sqrt{6}}$.

Rationalize the Numerator and Simplify 5+65−6\frac { 5 + \sqrt { 6 } } { 5 - \sqrt { 6 } }5−6​5+6​​

Rationalize the Numerator and Simplify $\frac { 5 + \sqrt { 6 } } { 5 - \sqrt { 6 } }$