Relation between Square and Square Root

Q.

The positive square root of $7+\sqrt{48}$ is

1. $7+2\sqrt{3}$

2. $7+\sqrt{3}$

3. $2+\sqrt{3}$

4. $3+\sqrt{2}$

Q.

What is the value of $\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}........$ upto 15 terms?

1. 0

2. 2

3. 4

4. 3

Q.

Question 2 (iii)
Simplify :
${(\sqrt{5}+\sqrt{2})}^2$ .

Q.

If $\sqrt{2}=1.414,then\sqrt{\frac{\sqrt{2}-1}{(\sqrt{2}+1)}}=$ ?

1. 0.207

2. 2.414

3. 0.414

4. 0.621

Q.

The value of $\frac{\sqrt{90}-\sqrt{10}}{\sqrt{10}}$ is _________.

Q. Simplify $\sqrt{128}$.

Q.

If $\sqrt{2}=1.414,then\sqrt{\frac{\sqrt{2}-1}{(\sqrt{2}+1)}}=$?

1. 0.414

2. 0.207

3. 2.414

4. 0.621

Q. Simplify $\sqrt{175}$.

1. $5\times \sqrt{8}$
2. $5\times \sqrt{5}$
3. $5\times \sqrt{6}$
4. $5\times \sqrt{7}$

Q.

If $\sqrt{2}=1.414,then\sqrt{\frac{\sqrt{2}-1}{(\sqrt{2}+1)}}=$ ?

1. 2.414

2. 0.414

3. 0.621

4. 0.207

Q.

If $\sqrt{2}=1.414,\sqrt{3}=1.732$, then find the value of $\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}$.

Q. In a ${45}^{\circ }-{45}^{\circ }-{90}^{\circ }$ triangle, if the length of the hypotenuse is $9\sqrt{2}$, then the length of its sides is 9 units.

1. True
2. False

Q.

$\sqrt[5]{56}\times \sqrt[5]{56}$ is equal to

1. $\sqrt[5]{536}$

2. $\sqrt[5]{56\times 0}$

3. $\sqrt[5]{512}$

4. $\sqrt[5]{56}$

Q. Which of the following are new numbers ?

1. $\sqrt{2}$
2. $\sqrt{5}$
3. 1.25
4. $\sqrt{9}$
5. $\sqrt{625}$
6. 1.732...
7. $\sqrt{8}$
8. $\sqrt{12}$

Q.

$\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}$

1. $\sqrt{10}+\sqrt{2}$

2. $\frac{\sqrt{10}+\sqrt{5}}{\sqrt{3}}$

3. $\sqrt{10}+\sqrt{5}$

4. $\sqrt{10}+\sqrt{11}$

Q. Let $a=\sqrt{5}-2,b=\sqrt{7}-\sqrt{6}$ and $c=\sqrt{13}-\sqrt{12}$. Then which of the following is true?

1. $a>b$
2. $b>c$
3. $c>b$
4. $c>a$

Q. $If\sqrt{2}=1.414,then\sqrt{\frac{\sqrt{2}-1}{(\sqrt{2}+1)}}=?$

1. 0.207
2. 2.414
3. 0.414
4. 0.621