Free Printable Radicals

1.

Which of these numbers is an integer?

a)

4.2

b)

4

c)

-4.2

d)

4/3

2.

Are irrational numbers real numbers?

a)

Always

b)

Sometimes

c)

Never

3.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

4.

Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

5.

How would you classify the number zero?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

6.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

7.

Integers are whole numbers

a)

Always

b)

Sometimes

c)

Never

8.

Select all: Which are characteristics of any Rational Number?

a)

Can be written as a fraction

b)

Cannot have a decimal

c)

A type of real number

d)

Includes integers, whole and natural numbers

9.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

10.

Which category is a subset of the integers?

a)

Rational numbers

b)

Whole numbers

c)

Irrational numbers

d)

Negative numbers

11.

Simplify.

a)

A

b)

B

c)

C

d)

D

12.

Find all real square roots of 81.

a)

9

b)

√9

c)

3√9

d)

9 and -9

13.

$\sqrt{-144}$

Evaluate

a)

not a real number (imaginary)

b)

-12

c)

12

d)

72

14.

What is the cube root of -8?

a)

4

b)

2

c)

-2

d)

-4

15.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

16.

Simplify:

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

17.

Simplify:
√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

18.

Simplify.

a)

A

b)

B

c)

C

d)

D

19.

Simplify:

4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

20.

Find two consecutive whole numbers that $\sqrt{77}$ lies between.

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

21.

Round to the Nearest Hundredth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

22.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

23.

Simplify √8⋅√12.

a)

4√6

b)

2√12

c)

2√6

d)

12√2

24.

MULTIPLY. Make sure your answer is fully simplified

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

25.

MULTIPLY. Make sure your answer is fully simplified.

√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

26.

MULTIPLY. Make sure your answer is fully simplified

√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

27.

Simplify completely.

a)

2√3

b)

-8√3

c)

2√6

d)

-8√6

28.

Simplify completely.
7√5 + 3√5

a)

21√5

b)

10√10

c)

10√15

d)

10√5

29.

SUBTRACT. Make sure your answer is fully simplified

√8 - 6√2

a)

-4√2

b)

2√2

c)

-6√6

d)

-6√10

30.

ADD. Make sure your answer is fully simplified

√18 + √2

a)

√20

b)

4√5

c)

4√2

d)

10√2

31.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

32.

Which expression with a fractional exponent best represents √7 ?

a)

7^½

b)

7¼

c)

7⅓

d)

2⁷

33.

Rewrite ∜x using a rational exponents.

a)

x⁴

b)

x^1/4

c)

4x

d)

x/4

34.

$81^{\frac{1}{4}}$

Evaluate

a)

20.25

b)

9

c)

not a real number

d)

3

35.

$\left(-216\right)^{\frac{1}{3}}$

Evaluate

a)

not a real number (imaginary)

b)

-6

c)

6 and -6

d)

-72

Radicals

Total questions: 35

Worksheet time: 1hrs 19mins

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