Search ResultsMath Topics
Intermediate AlgebraRational Exponents and Radicals
What are the two square roots of \(64\)?
Simplify if possible: \(\sqrt[3]{-8}\)
Simplify if possible: \(\sqrt{-4}\)
Simplify if possible: \(-\sqrt{25}\)
Simplify if possible: \(\sqrt[5]{-32}\)
Simplify if possible: \(\sqrt[4]{-81}\)
Simplify as much as possible: \(\sqrt{25a^4b^6}\)
Simplify as much as possible: \(\sqrt[3]{x^6y^{12}}\)
Simplify as much as possible: \(\sqrt[4]{81r^8s^{20}}\)
Write as a root, then simplify: \(8^{\frac{1}{3}}\)
Write as root, then simplify: \(36^{\frac{1}{2}}\)
Write as a root, then simplify: \(-25^{\frac{1}{2}}\)
Write as a root, then simplify: \((-25)^{\frac{1}{2}}\)
Write as a root, then simplify: \(\left(\dfrac{4}{9}\right)^{\frac{1}{2}}\)
Write as a rational exponent and simplify: \(\sqrt[3]{x^6y^{12}}\)
Write as a rational exponent and simplify: \(\sqrt[4]{81r^8s^{20}}\)
Simplify as much as possible: \(8^{\frac{2}{3}}\)
Simplify as much as possible: \(25^{\frac{3}{2}}\)
Simplify as much as possible: \(9^{-\frac{3}{2}}\)
Simplify as much as possible: \(\left(\dfrac{27}{8}\right)^{-\frac{4}{3}}\)
Simplify as much as possible: \(x^{\frac{1}{3}}\cdot x^{\frac{5}{6}}\)
Simplify as much as possible: \(\left(y^{\frac{2}{3}}\right)^{\frac{3}{4}}\)
Simplify as much as possible: \(\dfrac{z^{\frac{1}{3}}}{z^{\frac{1}{4}}}\)
Simplify as much as possible: \[\left(\frac{a^{-\frac{1}{3}}}{b^{\frac{1}{2}}}\right)^6\]
Simplify as much as possible: \(\dfrac{\left(x^{-3}y^{\frac{1}{2}}\right)^4}{x^{10}y^{\frac{3}{2}}}\)
Write \(\sqrt{50}\) in simplified form.
Write in simplified form: \(\sqrt{48x^4y^3}\), where \(x\), \(y\geq0\).
Write \(\sqrt[3]{40a^5b^4}\) in simplified form.
Write \(\sqrt{12x^7y^6}\) in simplified form.
Write \(\sqrt[3]{54a^6b^2c^4}\) in simplified form.
Simplify \(\sqrt{\displaystyle\frac{3}{4}}\)
Simplify \(\sqrt{\displaystyle\frac{5}{6}}\)
Rationalize the denominator in \(\displaystyle\frac{4}{\sqrt{3}}\)
Rationalize the denominator in \(\displaystyle\frac{2\sqrt{3x}}{\sqrt{5y}}\)
Rationalize the denominator in \(\displaystyle\frac{7}{\sqrt[3]{4}}\)
Simplify \(\sqrt{\displaystyle\frac{12x^5y^3}{5z}}\)
Simplify, but do not assume the variable represents a positive number. \[\sqrt{9x^2}\]
Simplify, but do not assume the variable represents a positive number. \[\sqrt{x^3}\]
Simplify, but do not assume the variable represents a positive number. \[\sqrt{x^2-6x+9}\]
Simplify, but do not assume the variable represents a positive number. \[\sqrt{x^3-5x^2}\]
Simplify: \(\sqrt[3]{(-2)^3}\)
Simplify: \(\sqrt[3]{\left(-5\right)^3}\)
Combine \(5\sqrt{3}-4\sqrt{3}+6\sqrt{3}\)
Combine \(3\sqrt{8}+5\sqrt{18}\)
Combine \(7\sqrt{75xy^3}-4y\sqrt{12xy}\), where \(x\), \(y\geq 0\).
Combine \(10\sqrt[3]{8a^4b^2}+11a\sqrt[3]{27ab^2}\)
Combine \(\dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{3}}\)
Construct a golden rectangle from a square of side length \(4\). Then show that the ratio of the length to the width is the golden ratio \(\displaystyle\frac{1+\sqrt{5}}{2}\).
Multiply \(\left(3\sqrt{5}\right)\left(2\sqrt{7}\right)\)
Multiply \(\sqrt{3}\left(2\sqrt{6}-5\sqrt{12}\right)\)
Multiply \(\left(\sqrt{3}+\sqrt{5}\right)\left(4\sqrt{3}-\sqrt{5}\right)\)
Expand and simplify: \(\left(\sqrt{x}+3\right)^2\)
Expand: \(\left(3\sqrt{x}-2\sqrt{y}\right)^2\)
Expand and simplify: \(\left(\sqrt{x+2}-1\right)^2\)
Multiply \(\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right)\)
Divide \(\displaystyle\frac{6}{\sqrt{5}-\sqrt{3}}\) (Rationalize the denominator)
Rationalize the denominator \(\displaystyle\frac{\sqrt{5}-2}{\sqrt{5}+2}\)
Solve for \(x\): \(\sqrt{3x+4}=5\)
Solve: \(\sqrt{4x-7}=-3\)
Solve \(\sqrt{5x-1}+3=7\)
Solve: \(t+5=\sqrt{t+7}\)
Solve: \(\sqrt{x-3}=\sqrt{x}-3\)
Solve: \(\sqrt{x+1}=1-\sqrt{2x}\)
Solve: \(\sqrt{x+1}=\sqrt{x+2}-1\)
Solve \(\sqrt{2x-10}=\sqrt{x-4}+\sqrt{x-12}\)
Solve: \(\sqrt[3]{4x+5}=3\)
Graph \(y=\sqrt{x}\) and \(y=\sqrt[3]{x}\)
Write in terms of \(i\): \(\sqrt{-25}\)
Write in terms of \(i\): \(\sqrt{-49}\)
Write in terms of \(i\): \(\sqrt{-12}\)
Write in terms of \(i\): \(\sqrt{-17}\)
Simplify as much as possible: \(i^{30}\)
Simplify as much as possible: \(i^{11}\)
Simplify as much as possible: \(i^{40}\)
Find \(x\) and \(y\) if \(3x+4i=12-8yi\)
Find \(x\) and \(y\) if \((4x-3)+7i=5+(2y-1)i\)
Simplify: \((3+4i)+(7-6i)\)
Simplify: \((7+3i)-(5+6i)\)
Simplify \((5-2i)-(9-4i)\)
Multiply: \((3-4i)(2+5i)\)
Multiply: \(2i(4-6i)\)
Expand: \((3+5i)^2\)
Multiply: \((2-3i)(2+3i)\)
Divide: \(\dfrac{2+i}{3-2i}\)
Divide: \(\dfrac{7-4i}{i}\)
MathTV Video Player
Oops. Content Missing
Modal title