Simplifying Radicals with Variables

What is the main focus of today's lesson?

• Learning new properties of exponents

• Using square roots to simplify expressions

• Combining square roots and properties of exponents to simplify expressions

• Using properties of exponents to simplify expressions

When converting from radical form to exponent form, what does the 'flower power' represent?

• The exponent

• The base

• The root

• The coefficient

How do you simplify x^4 under a square root?

• x^3

• x^4

• x^1

• x^2

What should you do if the exponent divided by the root does not result in a whole number?

• Factor the exponent to the nearest even number

• Leave it as a fraction

• Convert it to a decimal

• Ignore the fraction

How do you write x^7 under a square root as a mixed radical?

• x^3 * sqrt(x)

• x^3 * sqrt(x^2)

• x^4 * sqrt(x)

• x^2 * sqrt(x^3)

What is the square root of 100?

• 5

• 10

• 20

• 50

How do you simplify the square root of 180?

• 2 * sqrt(45)

• 3 * sqrt(20)

• 9 * sqrt(2)

• 6 * sqrt(5)

What is the simplified form of sqrt(144m^3n^3)?

• 12m^2n * sqrt(mn)

• 12m^3n^3

• 12m^2n^2

• 12mn * sqrt(mn)

What is the simplified form of sqrt(147xy)?

• 7 * sqrt(3xy)

• 7 * sqrt(21xy)

• 7 * sqrt(147xy)

• 7 * sqrt(49xy)

What should you do if you get stuck on a question during the quiz?

• Look up the answer online

• Raise your hand in class or ask for help on Zoom

• Guess the answer

• Skip the question