Side Lengths and Areas of Squares Practice — Grade 8 math

Lesson 1: Side Lengths and Areas of Squares — Practice Questions

1. Which of the following numbers is an irrational number?
- A. $-\frac{7}{2}$
- B. $\sqrt{64}$
- C. $\sqrt{30}$
- D. 8
2. The number $\sqrt{144}$ is a rational number because it is equal to the integer ___.
3. Is the number $\sqrt{99}$ rational or irrational?
- A. Rational
- B. Irrational
4. Any integer can be written as a rational number with a denominator of 1. To express the integer 41 as a rational number, you can write it as $\frac{41}{\_\_\_}$.
5. Which of the following numbers is a rational number?
- A. $\sqrt{10}$
- B. $\sqrt{100}$
- C. $\sqrt{110}$
- D. $\sqrt{120}$
6. Which of the following numbers is an irrational number?
- A. $\sqrt{144}$
- B. $\sqrt{18}$
- C. $\sqrt{100}$
- D. $\frac{18}{1}$
7. The number $\sqrt{64}$ is rational because it is equal to the whole number ___.
8. If $N$ is a whole number and $\sqrt{N}$ is a rational number, which of the following must be true about $N$?
- A. $N$ is an irrational number
- B. $N$ is a prime number
- C. $N$ is a perfect square
- D. $N$ must be an even number
9. Which of the following numbers is a rational number?
- A. $\sqrt{30}$
- B. $0.989989998...$
- C. $\sqrt{169}$
- D. $\pi$
10. What is the smallest whole number $N$ greater than 90 such that $\sqrt{N}$ is a rational number? The value of $N$ is ___.