Algebra
Radical Expressions and Equations
What is the value of \(\sqrt{2} \times \sqrt{6} \times \sqrt{27}?\)
Simplify \((\sqrt{x} + \sqrt{3})(\sqrt{x} - \sqrt{3})\)
\(\sqrt[2]{x} \times \sqrt[4]{x} \times \sqrt[6]{x} \times \sqrt[n]{x} = x\) for all \(x > 0\)
What is the value of \(n?\)
\(f(x) = (\sqrt{x^{2} + a})(\sqrt{x^{2} - a})\)
For what value(s) of \(a\) will the domain of \(f\) be \(\mathbb{R}?\)
Simplify \(\sqrt[9]{x^{3}}.\)