Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
-$\frac { \sqrt { 6 } + 7 } { \sqrt { 7 } }$
A) $\frac { - 43 } { \sqrt { 42 } + 7 \sqrt { 7 } }$
B) $\frac { 13 } { \sqrt { 42 } - 7 \sqrt { 7 } }$
C) $\frac { 42 } { 3 \sqrt { 42 } + 6 \sqrt { 7 } }$
D) $\frac { - 43 } { \sqrt { 42 } - 7 \sqrt { 7 } }$

Question

Quizplus · Accepted Answer

Rationalizing the numerator involves multiplying by the conjugate $\sqrt{6} - 7$ over itself, simplifying, and then simplifying the denominator.

Rationalize the Numerator and Simplify 6+77\frac { \sqrt { 6 } + 7 } { \sqrt { 7 } }7​6​+7​

Rationalize the Numerator and Simplify $\frac { \sqrt { 6 } + 7 } { \sqrt { 7 } }$