Irrational Numbers Practice Test Practice Tests

Question 1

Which of the following numbers is irrational?

Accepted Answer

B. $\sqrt{7}$

Answer

A. 3.14

Answer

C. $\frac{1}{3}$

Answer

D. -5

Question 2

All numbers with a square root symbol are irrational.

Accepted Answer

True

Answer

False

Question 3

Which of the following numbers is a surd?

Accepted Answer

A. $\sqrt{11}$

Answer

B. $\sqrt{25}$

Answer

C. 4

Answer

D. 0.75

Question 4

Simplify the surd: $\sqrt{48}$

Accepted Answer

4$\sqrt{3}$

Question 5

Which of the following is equivalent to $3\sqrt{2} + 5\sqrt{2}$?

Accepted Answer

C. $8\sqrt{2}$

Answer

A. $15\sqrt{2}$

Answer

B. $8\sqrt{4}$

Answer

D. $15\sqrt{4}$

Question 6

What is the result of $2\sqrt{3} 	imes 4\sqrt{5}$?

Accepted Answer

A. $8\sqrt{15}$

Answer

B. $6\sqrt{8}$

Answer

C. $8\sqrt{8}$

Answer

D. $6\sqrt{15}$

Question 7

Rationalize the denominator of $\frac{1}{\sqrt{2}}$

Accepted Answer

B. $\frac{\sqrt{2}}{2}$

Answer

A. $\sqrt{2}$

Answer

C. 2

Answer

D. $\frac{1}{2}$

Question 8

Which of the following are irrational numbers?

Answer

A. $\pi$

Answer

B. 2.5

Answer

C. $\sqrt{17}$

Answer

D. $e$

Answer

E. $\sqrt{9}$

Question 9

The sum of two irrational numbers is always irrational.

Accepted Answer

True

Answer

False

Question 10

Express $\sqrt{72}$ in its simplest form.

Accepted Answer

6$\sqrt{2}$

Question 11

Which operation, when performed on two irrational numbers, *always* results in an irrational number?

Accepted Answer

D. None of the above

Answer

A. Addition

Answer

B. Subtraction

Answer

C. Multiplication

Question 12

Simplify: $5\sqrt{27} - 2\sqrt{12}$

Accepted Answer

11$\sqrt{3}$

Question 13

Which expression is equivalent to $\frac{\sqrt{50}}{\sqrt{2}}$?

Accepted Answer

C. 5

Answer

A. $\sqrt{25}$

Answer

B. $\sqrt{48}$

Answer

D. 25

Question 14

What is the area of a square with side length $\sqrt{3} + 1$?

Accepted Answer

D. $4 + 2\sqrt{3}$

Answer

A. 4

Answer

B. $2\sqrt{3}$

Answer

C. 2

Question 15

Simplify and rationalize the denominator: $\frac{2\sqrt{3}}{\sqrt{6}}$

Accepted Answer

A. $\sqrt{2}$

Answer

B. $\frac{\sqrt{2}}{2}$

Answer

C. 2

Answer

D. $\frac{1}{2}$

Irrational Numbers Practice Test Practice Tests

Practice Tests

Irrational Numbers Practice Test

Generate Irrational Numbers Practice Test practice tests with AI