Simplifying Radicals: Key Concepts and Techniques

What tool does the teacher suggest using to solve the initial problems?

• Tab calculator

• Graphing calculator

• Scientific calculator

• None

What is added to both sides of the equation in the 'completing the square' method?

• 25

• 36

• 11

• 49

How do you handle a negative number under a square root?

• It results in an imaginary number

• It is not possible

• Convert it to a positive

• Ignore the negative sign

What is the result when simplifying the square root of 49?

• 49

• 14

• None of the above

• 7

What is the simplified result of 12 radical 28?

• 24 radical 14

• 336

• 12 radical 14

• 24 radical 7

What must be done to eliminate radicals from the denominator?

• Multiply top and bottom by the same radical

• Add the radical to the numerator

• Multiply by the conjugate

• Divide by the radical

What is the correct approach to simplify the expression with a radical in the denominator?

• Subtract the radical from the denominator

• Multiply both numerator and denominator by the radical

• Add the radical to the numerator

• Multiply the denominator by the radical

What is the simplified form of radical 28?

• Radical 14

• 7

• 2 radical 7

• 4 radical 7

What is the correct simplification for the expression involving radical 11 and radical 13?

• Radical 143

• Radical 23

• Radical 24

• Radical 156

What is the result of multiplying radical 7 by itself?

• 49

• 14

• 7

• Radical 49