Question

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Answer 1

see explanation

Explanation:

(
`√(3)` +
`√(2)` )²

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

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

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

= 3 +
`√(6)` +
`√(6)` + 2 ← collect like terms

= 2
`√(6)` + 5

--------------------------------------------------------

(b)

(2 -
`√(5)` )(2 +
`√(5)` )

= 2(2 +
`√(5)` ) -
`√(5)` (2 +
`√(5)` ) ← distribute parenthesis

= 4 + 2
`√(5)` - 2
`√(5)` - 5 ← collect like terms

= - 1