Free Printable Simplifying Radicals and Pythagorean Theorem

1.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

2.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

3.

√96

a)

16√6

b)

2√6

c)

4√6

d)

√2

4.

√169

a)

√13

b)

13

5.

In simplest radical form,
√80 is equivalent to

a)

16√5

b)

2√20

c)

4√5

d)

8√5

6.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

7.

Simplify √18

a)

3√2

b)

9√2

c)

3√9

d)

2√3

8.

Simplify √72

a)

8√3

b)

6√2

c)

3√8

d)

4√8

9.

√16

a)

4

b)

8

c)

16

d)

64

10.

Simplify:
√100

a)

1

b)

10

c)

10²

d)

Already simplified

11.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

12.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

13.

Simplify:
3√16

a)

12

b)

48

c)

√12

d)

3√4

14.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

15.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

16.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

17.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

18.

√16

a)

4

b)

8

c)

16

d)

64

19.

√1

a)

1

b)

2

c)

10

d)

100

20.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

21.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

22.

Simplify √60

a)

2√15

b)

12

c)

4√15

d)

3√5

23.

√243

a)

3√3

b)

9√3

c)

81√3

d)

3√81

24.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

25.

√121

a)

11

b)

12

c)

21

d)

121

26.

√144

a)

12

b)

4

c)

36

d)

6

27.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

28.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

29.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

30.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

31.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

32.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

33.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

34.

Sides a and b are called legs.

a)

true

b)

false

35.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

36.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

37.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

38.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

39.

Do the side lengths 6in, 8in, and 10in form a right triangle?

a)

Yes

b)

No

40.

Which set of sides would make a right triangle?

a)

A. 4,5,6

b)

B. 8,10,12

c)

C. 5,12,13

d)

D. 5,10,12

41.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

42.

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

a)

yes

b)

no

43.

Find the measure of h.

a)

13

b)

20

c)

9.7

d)

10

44.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

45.

Is this triangle a right triangle?

a)

yes

b)

no

46.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

47.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

48.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

49.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

a)

15.6

b)

6.6

c)

44

d)

16

50.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

51.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

52.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

53.

In which sport do 2 or 4 people hold ping-pong paddles, and play tennis on a tennis court, with a ping-pong ball?

a)

basketball

b)

tennis

c)

pickleball

d)

ping-pong

54.

Which is the largest ocean?

a)

Pacific Ocean

b)

Atlantic Ocean

c)

Indian Ocean

55.

He's the most famous character in video game history, and the official mascot for Nintendo.

a)

Sonic the Hedgehog

b)

Crash Bandicoot

c)

Mario

d)

Master Chief

56.

Which sneaker company is second to Nike in sales?

a)

Puma

b)

Converse

c)

Adidas

d)

Under Armour

57.

What's the 11th letter in the alphabet?

a)

M

b)

L

c)

K

d)

P

58.

Who invented the light bulb?

a)

Thomas Jefferson

b)

Thomas Edison

c)

Ben Franklin

d)

John Adams

59.

What type of animal only eats plants?

a)

carnivore

b)

herbivore

c)

omnivore

d)

veggievore

60.

What color do you get when you mix red and blue?

a)

Green

b)

Purple

c)

Blue

d)

Brown

61.

Batman is a part of what comic franchise?

a)

DC

b)

Marvel

62.

What is the smallest state in America?

a)

New Hampshire

b)

Delaware

c)

Rhode Island

d)

Maryland

63.

What movie is Princess Fiona from?

a)

Shrek

b)

How to Train your Dragon

c)

Brave

d)

Star Wars

Simplifying Radicals and Pythagorean Theorem

Total questions: 63

Worksheet time: 4hrs 17mins

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