Simplifying Radicals: Key Concepts and Techniques

Mrs. Petkus guides students through lesson 9-3, focusing on completing the square and simplifying radicals. The lesson begins with bellwork instructions, followed by a detailed explanation of completing the square, including moving constants and dividing by coefficients. The tutorial then shifts to simplifying radicals, identifying perfect squares, and dividing radicals. Students are encouraged to practice these concepts and seek help if needed. The video concludes with practice problems and a reminder to apply these skills in future classes.

What should you do after completing the bellwork?

• Submit it online

• Press pause and wait for further instructions

• Move on to the next lesson

• Ask a friend for help

What is the first step in completing the square for the equation 2x^2 + 5x + 1 = 0?

• Multiply by 2

• Add 1 to both sides

• Subtract 1 from both sides

• Divide by 2

When completing the square, what do you do after moving the constant and dividing by the coefficient of x^2?

• Add one half of B squared

• Multiply by the coefficient of x

• Subtract one half of B squared

• Divide by the constant

What is the value of 1.25 squared?

• 2.5

• 1.25

• 3.125

• 1.5625

What is the first step in simplifying the radical √18?

• Subtract 9 from 18

• Multiply 18 by 2

• Find the largest perfect square that divides into 18

• Divide 18 by 2

Which of the following is the largest perfect square that divides into 18?

• 4

• 9

• 16

• 25

What is the simplified form of √27?

• 3√3

• 9√3

• √9

• 3√9

What is the simplified form of 3√32?

• 3√16

• 12√2

• 3√4

• 6√2

How do you simplify the expression 10√180?

• 10√18

• 30√18

• 30√10

• 10√9

What is the simplified form of 6√98?

• 21√5

• 12√2

• 42√2

• 6√49