Quiz about Radicals Review

Question 1

Find the square root
sqrt(-361)

Accepted Answer

Not a real number

Answer

-19

Answer

19

Answer

-180

Question 2

Find the square root
-sqrt(256)

Accepted Answer

16

Answer

-128

Answer

-16

Answer

Not a real number

Question 3

Find the square root
sqrt(1/25)

Accepted Answer

1/5

Answer

1/625

Answer

5

Answer

25

Question 4

Find the square root
-sqrt(1/100)

Accepted Answer

-1/10

Answer

-1/10,000

Answer

1/10

Answer

Not a real number

Question 5

Use the product rule to simplify the radical:
sqrt(44)

Accepted Answer

2sqrt(11)

Answer

22

Answer

sqrt(44)

Answer

4sqrt(11)

Question 6

Use the product rule to simplify the radical:
sqrt(150)

Accepted Answer

5sqrt(6)

Answer

15sqrt(2)

Answer

25sqrt(6)

Answer

10sqrt(3)

Question 7

Use the product rule to simplify the radical:
2sqrt(16)

Accepted Answer

8

Answer

6

Answer

16

Answer

4

Question 8

Use the product rule to simplify the radical:
-6sqrt(147)

Accepted Answer

-42sqrt(3)

Answer

-3sqrt(42)

Answer

3sqrt(42)

Answer

42sqrt(3)

Question 9

Use the quotient rule and product rule to simplify each radical:
sqrt(25/36)

Accepted Answer

5/6

Answer

(sqrt(5))/(sqrt(6))

Answer

0

Answer

(sqrt(5))/6

Question 10

Use the quotient rule and product rule to simplify each radical:
sqrt(63/25)

Accepted Answer

(3sqrt(7))/5

Answer

(9sqrt(7))/25

Answer

(sqrt(63))/5

Answer

(sqrt(5))/6

Question 11

Use the quotient rule and product rule to simplify each radical:
sqrt(11/16)

Accepted Answer

(sqrt(11))/4

Answer

11/4

Answer

(sqrt(11))/16

Answer

sqrt(11/16)

Question 12

Use the quotient rule and product rule to simplify each radical:
sqrt(18/441)

Accepted Answer

(3sqrt(2))/21

Answer

(sqrt(2))/7

Answer

sqrt(2/49)

Answer

sqrt(18/441)

Question 13

Add or subtract as indicated:
22sqrt(2) - 7sqrt(2)

Accepted Answer

15sqrt(2)

Answer

30

Answer

29sqrt(2)

Answer

15

Question 14

Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
5sqrt(6) + 9sqrt(54)

Accepted Answer

32sqrt(6)

Answer

14sqrt(6)

Answer

22sqrt(6)

Answer

-32sqrt(6)

Question 15

Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
6sqrt(32) - 6sqrt(162)

Accepted Answer

-30sqrt(2)

Answer

-78sqrt(2)

Answer

78sqrt(2)

Answer

30sqrt(2)

Question 16

Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
sqrt(48) - sqrt(192)

Accepted Answer

-4sqrt(3)

Answer

12sqrt(3)

Answer

-4sqrt(6)

Answer

-12

Question 17

Simplify the given expression:
(3/4)sqrt(48) + (2/5)sqrt(75)

Accepted Answer

5sqrt(3)

Answer

((3/4)sqrt(3))+((2/5)sqrt(75))

Answer

3/4

Answer

2/5

Question 18

If the sides of a rectangle measure sqrt(7) and sqrt(28), what is the area of the rectangle in simplest form?

Accepted Answer

14

Answer

sqrt(196)

Answer

sqrt(14)

Answer

196

Question 19

Express (sqrt(25))-(2sqrt(3))+(sqrt(27))+(2sqrt(9))) in simplest radical form

Accepted Answer

11 + sqrt(3)

Answer

11 + 5sqrt(3)

Answer

12

Answer

Cannot be simplified

Question 20

Which value is equivalent  to the product of 4sqrt(2) and 2sqrt(6)?

Accepted Answer

16sqrt(3)

Answer

6sqrt(12)

Answer

6sqrt(8)

Answer

24sqrt(2)

Question 21

The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.

Accepted Answer

14sqrt(2)

Answer

14

Answer

sqrt(2)

Answer

56

Question 22

Express (sqrt(84))/(2sqrt(3)) in simplest radical form.

Accepted Answer

sqrt(7)

Answer

7

Answer

(2sqrt(21))/(2sqrt(3))

Answer

(sqrt(84))/(2sqrt(3))

Question 23

When 5sqrt(20) is written in simplest radical form, the result is ksqrt(5). What is the value of k?

Accepted Answer

10

Answer

20

Answer

7

Answer

4

Question 24

The length of a rectangle is (3sqrt(8) + 2) and the width is (2sqrt(2) + 1). Express the perimeter of the rectangle in simplest radical form.

Accepted Answer

16sqrt(2) +6

Answer

3sqrt(8) + 2sqrt(2)

Answer

6sqrt(8) + 4sqrt(2) + 6

Answer

5sqrt(10) + 3

Question 25

The length of a rectangle is (3sqrt(8) + 2) and the width is (2sqrt(2) + 1).
Express the area of the rectangle in simplest radical form.

Accepted Answer

10sqrt(2) + 26

Answer

3sqrt(8) + 4sqrt(2) +26

Answer

6sqrt(16) + 3sqrt(8)

Answer

2sqrt(2) + 1

Question 26

What is 2sqrt(45) expressed in simplest form?

Accepted Answer

6sqrt(5)

Answer

3sqrt(5)

Answer

5sqrt(5)

Answer

18sqrt(5)

Question 27

What is 3sqrt(2) + sqrt(8) expressed in simplest radical form?

Accepted Answer

5sqrt(2)

Answer

3sqrt(10)

Answer

3sqrt(16)

Answer

7sqrt(2)

Question 28

Which is equivalent to 5sqrt(3)?

Accepted Answer

sqrt(75)

Answer

sqrt(15)

Answer

sqrt(53)

Answer

225

Question 29

The expression sqrt(300) is equivalent to

Accepted Answer

10sqrt(3)

Answer

50sqrt(6)

Answer

12sqrt(5)

Answer

3sqrt(10)

Question 30

The expression sqrt(72) - 3 sqrt(2) written in simplest radical form is

Accepted Answer

3sqrt(2)

Answer

5sqrt(2)

Answer

3sqrt(6)

Answer

sqrt(6)

Question 31

The sum of sqrt(27) and sqrt(108) is

Accepted Answer

9sqrt(3)

Answer

sqrt(135)

Answer

3sqrt(3)

Answer

4sqrt(27)

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