Quiz about Solving Radical Equations with Roots

Question 1

To undo a square root in an equation, you need to...

Accepted Answer

square both sides

Answer

multiply both sides by 2

Answer

take the square root of both sides

Answer

divide both sides by 2

Question 2

Solve the radical equation: $$11=2+\sqrt{90-x}$$

Accepted Answer

x = 9

Answer

x = 82

Answer

x = -9

Answer

x = -82

Question 3

Solve the radical equation: $$4+\sqrt{\frac{x}{9}}=5$$

Accepted Answer

x = 9

Answer

x = -9

Answer

x = 21

Answer

x = -21

Question 4

Solve

Accepted Answer

x= 5

Answer

x= -9

Answer

x= -2 and 3

Answer

x= 0

Question 5

Solve for x; identify extraneous solutions (if any).

Accepted Answer

x = 17

Answer

x = 5

Answer

x = 3

Answer

no solution; x = 5 is extraneous

Question 6

Solve the radical equation

Accepted Answer

125

Answer

25

Answer

50

Answer

5

Question 7

Solve. Don't forget to check your answers!

Accepted Answer

6

Accepted Answer

9

Answer

-6

Answer

-9

Question 8

Change to rational exponent form.

Accepted Answer

$$x^{\frac{3}{4}}$$

Answer

$$x$$

Answer

$$x^{12}$$

Answer

$$x^{\frac{4}{3}}$$

Question 9

Solve the radical equation: $$6+\sqrt{6-15x}=15$$

Accepted Answer

x = -5

Answer

x = 1/5

Answer

No Solution

Answer

x = -1

Question 10

Solve the radical equation: $$\sqrt{x-5}=\sqrt{23-x}$$

Accepted Answer

x = 14

Answer

x = -14

Answer

No Solution

Answer

x = 28

Question 11

Solve the radical equation. Don't forget to check your answers!

Accepted Answer

x = -6

Answer

x = 3

Answer

x = 7/3

Answer

x = -5

Question 12

Solve for x:

x^3/2 + 7 = 71

Accepted Answer

16

Answer

2

Answer

4

Answer

8

Question 13

Solve for x:

Accepted Answer

7

Answer

1

Answer

19/8

Answer

0

Answer

2

Question 14

Question 14.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

Solve using square roots.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

x² - 64 = 0

Accepted Answer

8 or -8

Answer

64

Answer

8

Answer

1 or -64

Solving Radical Equations with Roots

19 questions

To undo a square root in an equation, you need to...

Solve

Solve for x; identify extraneous solutions (if any).

solve for x:

Solve the radical equation

Solve. Don't forget to check your answers!

Change to rational exponent form.

power over root

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