Simplifying Radical Expressions: Index 2 Challenge

What are the two main parts of a radical?

• Index and radicand

• Base and exponent

• Numerator and denominator

• Coefficient and variable

What is the square root of 9?

• 5

• 3

• 2

• 4

Which of the following is a perfect square?

• 12

• 8

• 16

• 20

How do you derive perfect squares?

• By adding consecutive numbers

• By subtracting 1 from a number

• By multiplying a number by itself

• By dividing a number by 2

What is the largest perfect square factor of 72?

• 4

• 9

• 16

• 36

Simplify √72 using the largest perfect square factor.

• 3√8

• 4√3

• 6√2

• 2√18

When simplifying radicals with variables, what should you factor out?

• The largest odd power

• The smallest even power

• The largest even power

• The smallest odd power

Simplify √(x^7) by factoring out the largest even power.

• x^3√x

• x^2√x^3

• x^4√x^2

• x^5√x

What is the simplified form of √(175x^2y^3)?

• 5x^2y√7

• 5xy^2√7

• 5x√7y^2

• 5xy√7y

How do you combine radicals and coefficients in the simplest form?

• Multiply the coefficients and add the radicals

• Join the radicals as a single radical and leave the coefficients outside

• Divide the coefficients and subtract the radicals

• Add the coefficients and multiply the radicals