Question

Solve the problem

(2sqrt5-4)^2

Answer 1

36 - 16
`√(5)`

Explanation:

assuming you want the expression expanded and simplified

(2
`\sqrt{5` - 4)²

= (2
`√(5)` - 4)(2
`√(5)` - 4)

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

2
`√(5)` (2
`√(5)` - 4) - 4(2
`√(5)` - 4) ← distribute parenthesis

= 20 - 8
`√(5)` - 8
`√(5)` + 16 ← collect like terms

= 36 - 16
`√(5)`