Question

simpify the equation :-
1.$\frac{1}{ \sqrt{3}+ \sqrt{2} }$

Answer 1

The given question is not an equation,  it is  an expression with irrational numbers..  a surd or radical expression.

It is the rationalization of irrational numbers.

$\frac{1}{\sqrt3+\sqrt2}=\frac{1}{\sqrt3+\sqrt2}*\frac{\sqrt3-\sqrt2}{\sqrt3-\sqrt2}\\\\=\frac{\sqrt3-\sqrt2}{(\sqrt3)^2-(\sqrt2)^2}=\frac{\sqrt3-\sqrt2}{3-2}=\sqrt3-\sqrt2$

Answer 2

1/√3+√2
on rationalize
1            × √3-√2
√3+√2      √3-√2
√3-√2   ⇒√3-√2
3-2
on using (a-b)(a+b)=a²-b²