Question

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

Answer 1

`91+40sqrt3`

Explanation:

`(4+5sqrt3)^2`
`rArr 4^2+2*4*5sqrt3+(5sqrt3)^2`
`color(blue)(Since,(a+b)^2=a^2+2ab+b^2`
`rArr 16+40sqrt3+25*3`
`rArr 16+75+40sqrt3`
`rArr 91+40sqrt3`

That's it,
Hope this helps :)