Addition and Subtraction of Irrational Numbers

Q. Addition or subtraction of two irrational numbers

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

Q. The addition or subtraction of a rational and an irrational number

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

Q. The sum of two surds yields a rational number if both surds are equal in and opposite in sign.

1. magnitude
2. number
3. size
4. shape

Q.

Sum of the irrational numbers $\sqrt{3}$ and $-\sqrt{3}$ is _________, which is a _______________.

Q. Which of the following addition or subtraction of irrational numbers will not result into an irrational number.

1. $(2+\sqrt{8})+(5+\sqrt{8})$
2. $(2+\sqrt{8})-(5+\sqrt{8})$
3. $(\sqrt{9}-\sqrt{2})+\frac{(\sqrt{16}+\sqrt{8})}{2}$

Q. There are two circular playgrounds in a city. Radius of one playground is $50\text{m}$ and radius of another playground is $100\text{m}$. Sum of areas of these two playgrounds is

1. an irrational number
2. a rational number
3. neither irrational nor rational number

Q. Jack and Ruth went to a math amusement park. It was compulsory there to solve given math problem to enter into the park.
Simplify: $\sqrt{98}+\sqrt{50}-\sqrt{16}$

1. $12\sqrt{2}-4$
2. $12\sqrt{2}+4$
3. $\sqrt{2}-4$