# How do you rationalize the denominator and simplify #(12-2sqrt6)/(8-5sqrt2)#?

##### 1 Answer

#### Answer:

See the explanation

#### Explanation:

There is a trick to this. Apart from anything else, mathematicians do not like 'roots' in the denominator. It is considered good practice to 'get rid of them'.

The trick: multiply by its self but change the sign in the middle (for the second variable) .

Why? Consider:

Observe that everything ends up being squared. So any square roots disappear.

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Consider

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