Question

Help me please
Surds

Answer 1

12
`√(6)` + 8
`√(15)` + 12 + 4
`√(10)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

(4
`√(3)` + 2
`√(2)` )(3
`√(2)` + 2
`√(5)` )

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

4
`√(3)` (3
`√(2)` + 2
`√(5)` ) + 2
`√(2)` (3
`√(2)` + 2
`√(5)` ) ← distribute both parenthesis

= 12
`√(6)` + 8
`√(15)` + 12 + 4
`√(10)`