Question

Expand and simplify if possible (√2+5)(1+√2)

Answer 1

7 + 6
`√(2)`

Explanation:

note that
`√(a)` ×
`√(a)` = a

(
`√(2)` + 5)(1 +
`√(2)`)

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

`√(2)`(1 +
`√(2)`) + 5(1 +
`√(2)`) ← distribute parenthesis

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

= 7 + 6
`√(2)`