simplify and rationalise 1/ sqrt(12)
- Start by simplifying the denominator
- We can write sqrt(12) as sqrt (4*3).
- This can be written as sqrt(4) * sqrt(3)
- We know the square root of 4 is 2. sqrt(3) is not a integer so we leave that as sqrt(3).
- So Sqrt(12) = 2*sqrt(3)
- We now have 1 / 2*sqrt(3). We want to make the denominator rational and to do this we need to get rid of the surd on the bottom.
- We will multiply 1 / 2*sqrt(3) by sqrt(3) / sqrt(3) (we can do this becasue this is the same as multiplying by 1)
- We now have 1sqrt(3) / 2sqrt(3)*sqrt(3)
- 1*sqrt(3) = sqrt(3).
- sqrt(3)sqrt(3) = 3. 32 = 6
- Our answer is sqrt(3) / 6.
