Solving Radical Equations: Multiplying and Simplifying Roots

[Stratosphere]

Homework Statement

(square root of 3 + square root of 5)(square root of 3-square root of6)

Homework Equations

The Attempt at a Solution

Im confused on what to multiply what with.

 

[The Bob]

How would you multiply (x + y)(x - z) out?

The Bob

 

[boaz]

I don't know but that's what I've gotten :
$$(\sqrt{3}+\sqrt{5})(\sqrt{3}-\sqrt{6})=\sqrt{3}(\sqrt{3}-\sqrt{6})+\sqrt{5}(\sqrt{3}-\sqrt{6})=\\<br /> \sqrt{3}\cdot\sqrt{3}-\sqrt{3}\cdot\sqrt{6}+\sqrt{5}\cdot\sqrt{3}-\sqrt{5}\cdot\sqrt{6}=\\<br /> =-2.846882916$$

 

[The Bob]

Well that is a way to do it but you've not produced an 'accurate' answer by using surds. As this has been posted, Stratosphere what would you have done?

The Bob