Question

Simplify :
(4+5√3)^2

Answer 1

91 + 40
`√(3)`

Explanation:

(4 + 5
`√(3)` )² = (4 + 5
`√(3)` ) (4 + 5
`√(3)`)

= 4( 4 + 5
`√(3)` )+ 5
`√(3)` (4 + 5
`√(3)` )

= 16 + 20
`√(3)` + 20
`√(3)` + 25
`√(9)`

= 16 + 40
`√(3)` + 25· 3

= 16 + 40
`√(3)` + 75

= 91 + 40
`\sqrt3}`