examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Back to all chapters
# Radical Expressions and Equations

Combine your skills of working with exponents and manipulating expressions for radical glory.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

What is the value of \(\sqrt{2} \times \sqrt{6} \times \sqrt{27}?\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Simplify \((\sqrt{x} + \sqrt{3})(\sqrt{x} - \sqrt{3})\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

\(\sqrt[2]{x} \times \sqrt[4]{x} \times \sqrt[6]{x} \times \sqrt[n]{x} = x\) for all \(x > 0\)

What is the value of \(n?\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

\(f(x) = (\sqrt{x^{2} + a})(\sqrt{x^{2} - a})\)

For what value(s) of \(a\) will the domain of \(f\) be \(\mathbb{R}?\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Simplify \(\sqrt[9]{x^{3}}\)

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

×

Problem Loading...

Note Loading...

Set Loading...