Can't fathom this one:

Express in the form a + b(root c)

(root 3 + root 2) (root 3 - root 2)

Thanks!

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- Oct 3rd 2009, 08:25 AMGAdamssurds
Can't fathom this one:

Express in the form a + b(root c)

(root 3 + root 2) (root 3 - root 2)

Thanks! - Oct 3rd 2009, 08:28 AMmathaddict
- Oct 3rd 2009, 08:46 AMGAdams
- Oct 3rd 2009, 08:58 AMe^(i*pi)
They can be zeroes, it still gives a real solution. The original question is multiplying a surd by it's conjugate which will

*always*give a rational answer - it's how we rationalise the denominator.

You could say that $\displaystyle 1 = 1+3\sqrt0$

As long as $\displaystyle bc = 0$ and $\displaystyle c \geq 0$ then it will work