Question
Rationalise the denominator of each:-
$\frac{1}{(\sqrt{3}-1)}$
$\frac{1}{(\sqrt{3}-1)}$
✓
Answer
$\frac{\sqrt{3}+1}{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Factorise : $x^2-1-2 a-a^2$
→Find the perimeter and area of a semi-circular plate of radius 25 cm (Take $\pi$ = 3.14 ).
→Rationalise the denominator of the following:
$\frac{1}{(\sqrt{6}-\sqrt{3})}$
→$\frac{1}{(\sqrt{6}-\sqrt{3})}$
Construct a rhombus $\text{ABCD}$, when:Its one side $= 6 \ cm$ and $\angle A = 60^o.$
→In the figure, a circle is inscribed in a square of side 5 cm and another circle is circumscribing the square. Find the ratio of the area of the outer circle to that of the inner circle.
$P$ is any point inside the $\triangle ABC.$Prove that$: \angle BPC > \angle BAC.$
→A model of cargo tuck is made to a scale of $1:40.$ The length of the model is $15\ cm.$ Calculate: The base area of the truck, if the base area of the model is $30\ m^2$
→If $\left(\frac{a^{-1} b^2}{a^2 b^{-4}}\right)^7 \div\left(\frac{a^3 b^{-5}}{a^{-2} b^3}\right)^{-5}=a^x \cdot b^y$, find $x+y$
→Express the following decimal as a rational number.$21.025$
→The pressure $P$ and volume $V$ of a gas are connected by the formula $PV = C ;$ where $C$ is a constant. If $P=4$ when $V=2 \frac{1}{2} ;$ find the value of $P$ when $V=4$ ?
→