Multiplication and Division of Irrational Numbers

Q.

The product of any two irrational numbers

1. Is always an irrational number

2. Is always an rational number

3. Is always an integer

4. Can be rational or irrational number

Q.

A tile is a square of side $25\text{cm}$ . How many such tiles would be required to cover the floor of a square bathroom of side $3\text{m}$ ?

Q.

Fill the box with missing number.

$\frac{4}{17}=\frac{\square }{34}$

Q. The product of any two irrational numbers

1. is always an irrational number
2. is always a rational number
3. is always an integer
4. can be rational or irrational

Q. If $\text{A}=\sqrt{6}$ and $\text{B}=\sqrt{18}$, then $\frac{\text{B}}{\text{A}}$ is

1. $\sqrt{3}$
2. $\sqrt{6}$
3. $\frac{1}{\sqrt{3}}$
4. $\frac{1}{\sqrt{6}}$

Q. Division of two irrational numbers

1. is always a rational number
2. is always an irrational number
3. can be a rational number or an irrational number

Q. The length of a rectangular basketball court is twice its width. If the area of the court is $10\sqrt{3}$ times the length, what is the length?

1. 
   $5\sqrt{3}$ units
2. 
   $10\sqrt{3}$ units
3. 
   $20\sqrt{3}$ units
4. 
   $15\sqrt{3}$ units

Q. Rebecca has two different square cards. Card A of area $50c{m}^2$ and card B of area $72c{m}^2$. She wants to make a rectangular card whose length is equal to side length of card A and breadth is equal to side length of card B. Area of the rectangular card is $c{m}^2$

Q. Find the value of $\frac{\sqrt{12}}{5\sqrt{6}+\sqrt{24}-\sqrt{54}}$

1. $\frac{1}{4}\sqrt{2}$
   
2. $\frac{2}{2\sqrt{2}}$
3. $\frac{1}{4\sqrt{2}}$
4. $\frac{1}{2\sqrt{4}}$

Q.

Fill the box with missing number.

$\frac{10}{14}=\frac{40}{\square }$

Q. $\sqrt{3}\times \sqrt{12}+4÷\sqrt{2}-\sqrt{8}=$

Q. Anna made a shape with some matchsticks, as shown below. Find the total area of the shape (in sq. cm.)

1. 136

Q.

Fill the box with missing number.

$\frac{28}{40}=\frac{\square }{10}$

Q.

Simplify :

$22.32\times 0.752\left\{\left(11.232-\overline{2.39+17.09\times 2}\right)\times \sqrt{144}of\frac{4}{7}\right\}$

Q.

Simplify :$\frac{\sqrt[3]{8}}{\sqrt{16}}÷\frac{\sqrt{100}}{\sqrt{49}}\times \sqrt[3]{125}$