Question

What is the simplified version of
`(2√(5)+3)(√(5)-1)`

Answer 1

Step-by-step explanation

We want to simplify:

`(2√(5)+3)(√(5)-1)`

Recall the distributive property;

(a+b)(c+d)=a(c+d)+b(c+d)

We apply this property to get,

`2√(5)(√(5)-1) + 3(√(5)-1)`

We expand to get,

`2 * 5-2 √(5) + 3√(5)-3`

This simplifies to,

`10 + √(5)-3`

The simplest form of the given expression is:

`7 + √(5)`