Rationalising √2+√3√3−√2 will give __________.
5+2√6
We rationalise the denominator by dividing and multiplying the number by √2+√3.
So, we have
√2+√3√3−√2×√3+√2√3+√2
=(√3+√2)2√32−√22
=(√3)2+(√2)2+2√63−2
[Using the identity (a+b)2=a2+b2+2ab]
=5+2√6.