Question

Simplify (5√3 − 2√5) the whole square

Answer 1

95 - 20
`√(15)`

Explanation:

(5
`√(3)` - 2
`√(5)` )²

= (5
`√(3)` - 2
`√(5)` )(5
`√(3)` - 2
`√(5)` )

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

5
`√(3)` (5
`√(3)` - 2
`√(5)` ) - 2
`√(5)` (5
`√(3)` - 2
`√(5)` ) ← distribute parenthesis

= 75 - 10
`√(15)` - 10
`√(15)` + 20 ← collect like terms

= 95 - 20
`√(15)`

Answer 2

95 - 20√15

Explanation:

I assume the expression is (5√3 − 2√5)^2 (?).

(5√3 − 2√5)*(5√3 − 2√5)

25√3^2 - 20√15 + 4√5^2

25*3 - 20√15 +4*5

75 - 20√15 +20

95 - 20√15