# Worksheet: Solving Quadratic Equations: Taking Square Roots

In this worksheet, we will practice solving quadratic equations with no linear term using the square root property.

Q1:

Find the solution set of the equation in .

• A
• B
• C
• D

Q2:

Find the solution set of the equation in , giving values to one decimal place.

• A
• B
• C
• D

Q3:

Solve .

• A
• B,
• C,
• D
• E

Q4:

Solve the equation .

• A
• B,
• C,
• D,
• E

Q5:

Solve .

• A
• B
• C,
• D,
• E,

Q6:

Solve the equation .

• A,
• B,
• C
• D
• E

Q7:

Solve .

• A or
• B or
• C or
• D or
• E or

Q8:

Solve the equation .

• A
• B,
• C
• D,
• E,

Q9:

Solve the equation .

• A
• B,
• C,
• D
• E

Q10:

Solve .

• A
• B
• C
• D,
• E,

Q11:

Determine the solution set of the equation given that .

• A
• B
• C
• D

Q12:

Given that , find the possible values of .

• A
• B
• C
• D

Q13:

Find all the possible values of for which .

• A
• B10
• C
• D25

Q14:

Find all the values of which satisfy .

• A144
• B12
• C
• D
• E

Q15:

Solve .

• A or
• B or
• C
• D
• E or

Q16:

Solve .

• A
• B or
• C
• D
• E or

Q17:

Find the solution set of the equation in .

• A
• B
• C
• D

Q18:

Solve .

• A or
• B
• C or
• D or
• E

Q19:

Given that , find the value of , and state whether it is a rational or irrational number.

• A, rational number
• B, rational number
• C, irrational number
• D, irrational number
• E, irrational number

Q20:

Write all of the values of which satisfy the equation . If necessary, give your answer(s) to 4 significant figures.

• A1.5
• B1.257
• C
• D
• E

Q21:

Find the solution set of the equation given that .

• A
• B
• C
• D
• E

Q22:

Solve .

• A or
• B or
• C or
• D or
• E or

Q23:

Find the solution set of in .

• A
• B
• C
• D
• E

Q24:

If , find all the possible values of and .

• A,
• B or ,
• C,
• D or ,

Q25:

Find the solution set of the equation .

• A
• B
• C
• D
• E