Question

Simplify as far as possible without a calculator.
(1 + √5) (3 + 2√5)

Answer 1

We can simplify this expression using the distributive property of multiplication:

(1 + √5) (3 + 2√5) = 1(3) + 1(2√5) + √5(3) + √5(2√5)

Simplifying each term, we get:

3 + 2√5 + 3√5 + 2√(5^2)

Combining like terms, we have:

3 + 5√5 + 10

Simplifying further, we get:

13 + 5√5

Therefore, (1 + √5) (3 + 2√5) simplifies to 13 + 5√5.

Explanation: