How to answer (4+5sqrt3)^2(4+5√3)2 ? How to simplify the answer here?

1 Answer
Jade
Apr 10, 2018

91+40sqrt391+40√3

Explanation:

(4+5sqrt3)^2(4+5√3)2
rArr 4^2+2*4*5sqrt3+(5sqrt3)^2⇒42+2⋅4⋅5√3+(5√3)2
color(blue)(Since,(a+b)^2=a^2+2ab+b^2since,(a+b)2=a2+2ab+b2
rArr 16+40sqrt3+25*3⇒16+40√3+25⋅3
rArr 16+75+40sqrt3⇒16+75+40√3
rArr 91+40sqrt3⇒91+40√3

That's it,
Hope this helps :)

Related questions
Impact of this question
1361 views around the world
You can reuse this answer
Creative Commons License