3 - √3
√6
you need to have a common denominator, so let's make √3 into a fraction of something over √6. So let's multiply the √3 by (√6/√6). You can always multiply something by one, since it doesn't change its value.
3 - √3√6
√6 √6
now we can combine the numerator over the common denominator
3 - √3√6
√6
this is now a ratio. but let's try to simply it further by multiplying top and bottom by √6
3√6 - √3√6√6
√6√6
3√6 - 6√3
6
√6 - 2√3
2
√6
you need to have a common denominator, so let's make √3 into a fraction of something over √6. So let's multiply the √3 by (√6/√6). You can always multiply something by one, since it doesn't change its value.
3 - √3√6
√6 √6
now we can combine the numerator over the common denominator
3 - √3√6
√6
this is now a ratio. but let's try to simply it further by multiplying top and bottom by √6
3√6 - √3√6√6
√6√6
3√6 - 6√3
6
√6 - 2√3
2
