Download App

Rationalisation — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsRationalisation2 Marks
Question
Simplify the following expression:
$(11+\sqrt{11})(11-\sqrt{11})$
✓

Answer

$(11+\sqrt{11})(11-\sqrt{11})$
As we know, $(\mathrm{a}+\mathrm{b})(\mathrm{a}-\mathrm{b})=\left(\mathrm{a}^2-\mathrm{b}^2\right)$
So, $11^2-11$
$121-11=110$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Rationalisation→Rationalisation — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Factorise:
$8(3 a-2 b)^2-10(3 a-2 b)$
 
→
Factorise:
$3 x^2-14 x+8$
→
Simplify the following expression:
$(3+\sqrt{3})(3-\sqrt{3})$
→
The perimeter of an isosceles triangle is $42 \ cm$ and its base is $1 \frac{1}{2}$ times each of the equal sides. Find the height of the triangle. $($Given, $\sqrt{7}=2.64)$.
→
Rationalise the denominator of the following:
$\frac{4}{\sqrt{11}-\sqrt{7}}$
→
The surface area of a sphere is $5544 \mathrm{~cm}^2$, find its diameter.
→
Find the remainder when $ {x^3} + 3{x^2} + 3x + 1$ is divided by $x - \frac{1}{2}$
→
Factorise: $\frac{2}{3}\text{x}^2-\frac{17}{3}\text{x}-28$
→
Factorise:
$81 x^4-y^4$
 
→
Simplify: $\big(3-\sqrt{11}\big)\big(3+\sqrt{11}\big)$
→