Question

Expand and reduce (2+√3)^2

Answer 1

7 + 4
`√(3)`

Explanation:

note that
`√(a)` ×
`√(a)` = a

Given

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

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 +
`√(3)` ) +
`√(3)`(2 +
`√(3)` ) ← distribute both parenthesis

= 4 + 2
`√(3)` + 2
`√(3)` + 3 ← collect like terms

= 7 + 4
`√(3)`