In this video, you will learn how to rationalise
the denominator of a fraction
A rational number can be written in the form
of p/q where p and q are integers
In the first example, square root 3 is not
an integer.
Therefore, we need to rationalise and turn
it into an integer
We can do it by multiplying both the numerator
and denominator with square root 3
When square root 3 multiply itself, it will
turn into 3 which is an integer
Then, simplify it to get the answer in the simplest
form
In the second example, we have 4/square root
5 +2
Square root 5 +2 is not an integer.
To make it into an integer, we multiply it
with its conjugate, which is square root 5
- 2
This is because the product of a+b and a-b
is a^2-b^2
Hence, the denominator becomes square root
5 square minus 2 square
Finally, Simplify it and we should obtain
the answer with a rational denominator
