Free Printable Solving Radical Equations Extraneous Solutions

1.

Solve

a)

0

b)

-4

c)

0, -4

d)

no solution

2.

Solve

a)

-9

b)

-2,3

c)

5

d)

0

3.

Challenge: SELECT ALL THAT APPLY -

When solving the following Radical Equations, which equations will have EXTRANEOUS solutions.

a)

$\sqrt[]{9x-1}+1=0$

b)

$-3\sqrt[]{x+6}=27$

c)

$-7\sqrt[]{-x-7}-7=-7$

d)

$-4\sqrt[]{2x-6}+32=0$

e)

$3\sqrt[]{3x+2}=-12$

4.

Challenge: SELECT ALL THAT APPLY - Consider the following: $\sqrt[]{5x+11}-1=x$ After solving, which solution(s) will be solved EXTRANEOUS.

a)

$5$

b)

$-5$

c)

$2$

d)

$-2$

e)

$4$

5.

Choose the STEPS that are NOT involved with solving RADICAL equations.

a)

Isolate the radical on one side or both sides of the equation.

b)

Square all problems involving radicals.

c)

Square root problem? Square BOTH sides to rid the radical.

d)

Always take the reciprocal of the square root first before solving.

e)

Check for EXTRANEOUS roots/solutions.

6.

a)

3

b)

-3

c)

2

d)

0

7.

a)

9

b)

-9

c)

7

d)

-7

8.

a)

6

b)

9

c)

-6

d)

-9

9.

a)

1

b)

-1

c)

2

d)

-2

10.

a)

7

b)

5

c)

-7

d)

-5

Solving Radical Equations Extraneous Solutions

Total questions: 10

Worksheet time: 10mins

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