Rationalize the numerator of the expression and simplify.
-$\frac { \sqrt { 7 x + h } + 14 - ( \sqrt { 7 x } + 14 ) } { h }$
A) $\frac { h } { ( \sqrt { 7 x + h } + \sqrt { 7 x } ) }$
B) $\frac { 1 } { ( \sqrt { 7 x + h } + \sqrt { 7 x } ) }$
C) $\frac { 1 } { ( \sqrt { 14 x + h } ) }$
D) $\frac { h } { ( \sqrt { 14 x + h } ) }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { \sqrt { 7 x + h } - \sqrt { 7 x } } { h }$, which can be further simplified by rationalizing the numerator, resulting in $\frac { 1 } { ( \sqrt { 7 x + h } + \sqrt { 7 x } ) }$.

Rationalize the Numerator of the Expression and Simplify 7x+h+14−(7x+14)h\frac { \sqrt { 7 x + h } + 14 - ( \sqrt { 7 x } + 14 ) } { h }h7x+h​+14−(7x​+14)​

Rationalize the Numerator of the Expression and Simplify $\frac { \sqrt { 7 x + h } + 14 - ( \sqrt { 7 x } + 14 ) } { h }$