Mastering Radical Expressions Quiz

Simplify: <katex latex="\sqrt{50} + 2\sqrt{8}"></katex>

• <katex latex="3\sqrt{2}"></katex>

• <katex latex="7\sqrt{2}"></katex>

• <katex latex="5\sqrt{2}"></katex>

• <katex latex="6\sqrt{2}"></katex>

Combine like terms: <katex latex="4\sqrt{3} - 2\sqrt{3} + 5\sqrt{3}"></katex>

• <katex latex="7\sqrt{3}"></katex>

• <katex latex="6\sqrt{3}"></katex>

• <katex latex="5\sqrt{3}"></katex>

• <katex latex="4\sqrt{3}"></katex>

Simplify: <katex latex="3\sqrt{18} - 2\sqrt{8}"></katex>

• <katex latex="5\sqrt{2}"></katex>

• <katex latex="2\sqrt{2}"></katex>

• <katex latex="7\sqrt{2}"></katex>

• <katex latex="6\sqrt{2}"></katex>

Which of the following is the simplified form of <katex latex="\sqrt{27} + \sqrt{12}"></katex>?

• <katex latex="7\sqrt{3}"></katex>

• <katex latex="5\sqrt{3}"></katex>

• <katex latex="3\sqrt{3} + 2\sqrt{3}"></katex>

• <katex latex="6\sqrt{3}"></katex>

Simplify: <katex latex="2\sqrt{5} + 3\sqrt{20} - \sqrt{45}"></katex>

• <katex latex="5\sqrt{5}"></katex>

• <katex latex="3\sqrt{5}"></katex>

• <katex latex="4\sqrt{5}"></katex>

• <katex latex="2\sqrt{5}"></katex>

Rationalize the denominator: <katex latex="\frac{3}{\sqrt{2}}"></katex>

• <katex latex="\frac{3\sqrt{2}}{2}"></katex>

• <katex latex="\frac{3}{2\sqrt{2}}"></katex>

• <katex latex="3\sqrt{2}"></katex>

• <katex latex="\frac{\sqrt{2}}{3}"></katex>

Simplify: <katex latex="5\sqrt{7} - 2\sqrt{7} + \sqrt{7}"></katex>

• <katex latex="4\sqrt{7}"></katex>

• <katex latex="3\sqrt{7}"></katex>

• <katex latex="2\sqrt{7}"></katex>

• <katex latex="5\sqrt{7}"></katex>

Which of the following is the simplified form of <katex latex="\sqrt{32} - 2\sqrt{2}"></katex>?

• <katex latex="2\sqrt{2}"></katex>

• <katex latex="4\sqrt{2}"></katex>

• <katex latex="6\sqrt{2}"></katex>

• <katex latex="2\sqrt{8}"></katex>

Combine and simplify: <katex latex="2\sqrt{3} + 4\sqrt{12} - \sqrt{27}"></katex>

• <katex latex="5\sqrt{3}"></katex>

• <katex latex="7\sqrt{3}"></katex>

• <katex latex="6\sqrt{3}"></katex>

• <katex latex="3\sqrt{3}"></katex>

Rationalize the denominator: <katex latex="\frac{5}{2\sqrt{3}}"></katex>

• <katex latex="\frac{5\sqrt{3}}{6}"></katex>

• <katex latex="\frac{5\sqrt{3}}{2}"></katex>

• <katex latex="\frac{10\sqrt{3}}{3}"></katex>

• <katex latex="\frac{5}{2\sqrt{3}}"></katex>