Free Printable Algebra 1: Radicals

1.

$\sqrt{20}$

a)

2 $\sqrt{5}$

b)

5 $\sqrt{2}$

c)

$\sqrt{2}\sqrt{5}$

d)

$\sqrt{10}\sqrt{2}$

2.

$\sqrt{24}$

a)

$2\sqrt{6}$

b)

$6\sqrt{2}$

c)

$5$

d)

$\sqrt{12}\sqrt{2}$

3.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$2\sqrt{5}$

c)

$5\sqrt{10}$

d)

$10\sqrt{5}$

4.

$\sqrt{12}$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$\sqrt{2}\sqrt{6}$

d)

$6\sqrt{2}$

5.

$\sqrt{120}$

a)

$2\sqrt{30}$

b)

$4\sqrt{30}$

c)

$\sqrt{12}\sqrt{10}$

d)

$24\sqrt{5}$

6.

$\sqrt{18}$

a)

$3\sqrt{2}$

b)

$2\sqrt{3}$

c)

$9\sqrt{2}$

d)

$4\sqrt{3}$

7.

$\sqrt{200}$

a)

$10\sqrt{2}$

b)

$2\sqrt{10}$

c)

$100\sqrt{2}$

d)

$4\sqrt{10}$

8.

$\sqrt{8}$

a)

$2\sqrt{2}$

b)

$4\sqrt{2}$

c)

$2\sqrt{4}$

d)

$2$

9.

$\sqrt{72}$

a)

$6\sqrt{2}$

b)

$2\sqrt{6}$

c)

$12\sqrt{6}$

d)

$2\sqrt{36}$

10.

What does this symbol represent?

a)

square root

b)

divide by 2

c)

cube root

d)

greater than or less than

11.

Which representations are equal to 64?

a)

8²

b)

32²

c)

(-8)(-8)

d)

4³

e)

21³

12.

a)

√1

b)

1

c)

-1

d)

Not possible

13.

a)

-15√2

b)

-6√5

c)

-150

d)

15√2

14.

a)

x³

b)

x²

c)

x³√x

d)

3x

15.

a)

x⁵y¹⁰√xy

b)

x³√y¹⁰

c)

x⁶y²⁰

d)

x³y¹⁰

16.

a)

x^4.5

b)

x⁵√x

c)

x⁴√x

d)

x³

17.

a)

x⁸y⁴√x

b)

x⁸y⁸√x

c)

x^8.5y⁸

d)

x¹⁰y⁸√7

18.

a)

2x³y¹⁰√y

b)

2x³y⁷

c)

x³y¹⁰√2y

d)

2x⁵y¹⁰√xy

19.

a)

2xy√4xy

b)

4x²y√x

c)

4xy

d)

2xy√2x

20.

a)

2x¹²y¹⁸√6

b)

12x¹²y¹⁸

c)

2x¹²y⁶√6

d)

12x¹²y6

21.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

22.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

23.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

24.

a)

b)

c)

d)

25.

a)

b)

c)

d)

26.

a)

b)

c)

d)

27.

a)

b)

c)

d)

28.

a)

b)

c)

d)

29.

a)

b)

c)

d)

30.

Rewrite in radical form.

a)

A

b)

B

c)

C

d)

D

31.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

32.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

33.

Which of the following numbers is rational?

a)

√8

b)

√16

c)

√50

d)

√75

34.

A fraction is which type of number?

a)

Rational

b)

Irrational

35.

Which number is a rational number?

a)

2.25

b)

-8.78654684598.....

c)

Square root of 99

d)

3.14...

36.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

37.

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

38.

Evaluate √72. Round your answer to the nearest Whole Number.

a)

7.2

b)

7

c)

8

d)

9

39.

A perfect square is which type of number?

a)

Rational

b)

Irrational

40.

A never ending decimal is which type of number?

a)

Rational

b)

Irrational

41.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

42.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

43.

What type of number is π ?

a)

Rational

b)

Irrational

44.

Which statement is true?

a)

The number ⅚ is irrational

b)

The number 0.345345345 is irrational

c)

The number (4π/16π) is rational

d)

The number (√11)² is rational

45.

Once simplified, is this number rational or irrational? 10√2

a)

Rational

b)

Irrational

Algebra 1: Radicals

Total questions: 45

Worksheet time: 1hrs 3mins

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