Question

Find the product.

`(3 - sqrt(5))(3 + sqrt(5))`

Answer 1

To find the product:

`(3 - sqrt(5))(3 + sqrt(5))`

Use the identity:

(a – b)(a + b) = a² – b²

Here:

• `a = 3`
• `b = sqrt(5)`

Now apply the identity:

= `3^2 - (sqrt(5))^2`

= 9 – 5

= 4