Expand the binomial.
-$( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }$
A) $x ^ { 2 } + 4 x \sqrt { 5 x } + 30 x + 20 \sqrt { 5 x } + 25$
B) $x ^ { 2 } + 25$
C) $x ^ { 2 } + 4 x \sqrt { 5 x } + 6 x + 4 \sqrt { 5 x } + 5$
D) $x ^ { 2 } + 4 x \sqrt { 5 x } + 11 x + 9 \sqrt { 5 x } + 25$

Question

Quizplus · Accepted Answer

The expansion of $( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }$ using the binomial theorem results in $x^2 + 4x\sqrt{5x} + 6x^2 + 20\sqrt{5x} + 25$, which matches option A after simplifying.

Expand the Binomial (x+5)4( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }(x​+5​)4

Expand the Binomial $( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }$