Practice Roots & Radicals

Find All Real Roots

100

Find all real square roots of 64.

What are +/- 8?

200

Find all real square roots of -100

There are no real roots.

300

Find all real cube roots of -343.

What is -7?

400

Find all real fourth roots of 256.

What are +/- 4?

500

Find all real fifth roots of -243.

What is -3?

Properties of Exponents

100

Simplify (x³)(x⁷).

What is x¹⁰?

200

Simplify (x³)⁴ using positive exponents.

What is x¹²?

300

Simplify (2x⁴)(3x^-6) using positive exponents.

What is 6/(x²)?

400

Simplify (3x²y³)³.

What is 27x⁶y⁹?

500

Simplify (m⁵)(n⁷) / (m⁹)(n³) using positive exponents.

What is n⁴ / m⁴?

Simplify Radicals

100

Simplify √36x²

What is 6x?

200

Simplify ∛64x³y⁶.

What is 4xy²?

300

Simplify ∛125 y² z⁴.

What is 5z∛y² z?

400

Simplify ∛-216 x⁴ y⁴.

What is -6xy∛xy?

500

Simplify ∜625 x⁵ y⁸.

What is 5xy²∜x?

Multiply & Simplify Radicals

100

(√4x)(√9x)

What is 6x?

200

(√4x⁵)(√16x³)

What is 8x⁴?

300

(∛ 2x³ y⁵)(∛ 4x³ y⁴)

What is 2x² y³?

400

(∛ 16 a² b)(∛ 4a⁶ b⁴)

What is 4 a² b ∛ a² b²?

500

Multiply & simplify:(∛ 2x³ y⁵)(∛ 4x³ y⁴)

What is 2x² y³?

Random

100

Simplify ∛27x⁶.

What is 3x²?

200

This person is the current U.S. Vice President.

Who is Joe Biden?

300

Simplify √x⁵ y⁷ z⁹.

What is x² y³ z4√xyz?

400

Factor  16x² - 169

What is (4x+13)(4x-13)?

500

Divide and simplify: √75x⁷y¹²/√3xy⁸

What is 5x³y²?