Simplifying Radicals: Key Concepts and Techniques

What is the first step in simplifying radicals?

• Use a calculator to find the square root

• List all perfect squares

• Divide the radical by the smallest number

• Draw two radical symbols

Which of the following is not a perfect square?

• 72

• 64

• 36

• 49

Which perfect square is closest to 72 but does not exceed it?

• 81

• 36

• 64

• 49

What is the result of dividing 72 by 36?

• 2

• 1

• 3

• 4

Where should the perfect square be placed when simplifying radicals?

• On the right side

• On the left side

• Outside the radical

• Either side

What do you do after placing the perfect square and the whole number in their positions?

• Add them together

• Divide them

• Simplify the perfect square

• Multiply them

What is the simplified form of radical 36?

• 36

• 6

• 12

• 18

What is the correct simplified form of radical 72?

• 36 radical 2

• 6 radical 2

• 9 radical 2

• 8 radical 3

How do you verify if your simplified radical is correct?

• Guess and check

• Multiply the components

• Compare with the original radical using a calculator

• Ask a teacher

What should you do if the numbers from your simplification and the calculator do not match?

• Check for calculation errors

• Ignore the discrepancy

• Start over

• Only use the calculator's result