If $x+\sqrt{15}=4$ then $x+\frac{1}{x}=$

Important Questions on Rationalisation

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

If $x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\text{ and }y=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ then $x+y+xy=$ 

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

If $x=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}} \text{ and }y=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$then  $x^2+xy+y^2=$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to 

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

Find the value of $\frac{\sqrt{48}+\sqrt{32}}{\sqrt{27}+\sqrt{18}}$

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

If $\frac{5-\sqrt{3}}{2+\sqrt{3}}=x+y\sqrt{3}$ then find values of $x \text{and} y$

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

If $x=\sqrt[3]{2+\sqrt{3}}$ then $x^3+\frac{1}{x^3}=$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

The value of $\sqrt{3-2\sqrt{2}}\text{ is }$

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 3 - Rationalisation>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

The value of $\sqrt{5+2\sqrt{6}}$ is