Radicals Review

Simplifying Radicals

100

Simplify √36

What is 6?

200

Simplify √48

What is 4√3?

300

Simplify 2√32

What is 8√2?

400

Simplify -3x²√40x⁴y⁵z³

What is -6x⁴y²z√10yz?

500

Simplify 3xy√147x⁶y⁷

What is 21x⁴y⁴√3y?

Multiplying Radicals

100

Multiply √3 * √4

What is √12?

200

Multiply √5 * √10

What is 5√2?

300

Multiply √12xy² * √27x

What is 18xy?

400

Multiply -2√5(2√10 + 3√2)

What is -20√2 - 6√10?

500

Multiply (5√2+3√5)(2√10-3)

What is 15√2 + 11√5?

Dividing Radicals

100

Divide √9/√25

What is 3/5?

200

Divide √(10/3)

What is √30/3?

300

Divide √(9x⁵y)/√(12xy⁷)

What is x²√3 / 2y³ ?

400

Divide 18/(6-√2)

What is (54+9√2)/17?

500

Divide 3√7/(5√3+3√5)

What is (5√21-3√35)/10 ?

Rational Exponents

100

Rewrite as a radical expression: x^1/4

What is ⁴√x?

200

Rewrite with a fractional exponent: ⁵√(x²)

What is x^2/5?

300

Simplify 27^4/3

What is 81?

400

Simplify (8x⁶y³)^1/3

What is 2x²y?

500

Simplify: (-27a⁶b⁹)^2/3

What is 9a⁴b⁶?

Solving Radicals

100

Solve: √(-3a) = 6

What is a=-12?

200

Solve 2√(x-5) = 4√6

What is x=29?

300

Solve √(3n-13) = √(2n-6)

What is n = 7?

400

Solve √(x+1) + 1 = x

What is x = 3?

500

Solve √(3d-8) = d - 2

What is d = 3, 4?