# How do you rationalize the denominator #(5 sqrt 6)/(sqrt 10)#?

##### 2 Answers

If you multiply both the numerator and the denominator by

then the denominator will become a non-radical.

which can be simplified as

Two methods:

**Method 1**

Multiply by

Now simplify

**Method 2**

Notice that 6 and 10 are both divisible by 2, so we can start by simplifying:

Method 2a: now multiply by

Method 2b Reduce

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