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Worksheets

Irrational Numbers Square Roots

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

7 3 = ?, which is ?\sqrt{7}\cdot\ \sqrt{3}\ =\ ?,\ which\ is\ ?  

a)

rational

b)

irrational

2.

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

3.

Between which two whole numbers is the √5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

4.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

5.
a)

10

b)

20

c)

14

d)

16

6.

Which expression is equivalent to √75?

a)

5√3

b)

15√5

c)

3√5

d)

5√15

7.

The value of x29\sqrt[]{x^2-9}  is a real and irrational number when x is equal to

a)

5

b)

0

c)

-3

d)

4

8.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

9.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

10.

Click on the magnifer to see the question.

a)

M

b)

N

c)

O

d)

P

11.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

12.

Square roots of non - perfect squares are always _____ numbers.

a)

irrational

b)

rational

13.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

14.

π\pi  

a)

Rational

b)

Irrational

15.

Estimate the square root.

a)

7

b)

8

c)

9

d)

10

16.

An imperfect square is a number whose square root is ___________.

a)

Even

b)

irrational

c)

Rational

d)

Odd

17.

Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

a)

√8

b)

√17

c)

√12

d)

√10

18.

Between which two whole numbers is the
√5?

a)

and 2

b)

and 3

c)

and 4

d)

and 5

19.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

20.

Estimate √50. Round your answer to the nearest Whole Number. 

a)

5

b)

10

c)

25

d)

7