• #### Tricky Substitutions Involving Radicals

##### CalculusAntiderivatives and Differential Equations

How to antidifferentiate functions with radicals.

• #### Multiplying Radicals of the Same Root

How to multiply radicals of the same root together.

• #### Simplifying Expressions and Combining Like Terms

##### AlgebraPre-Algebra

How to simplify expressions by distributing and/or combining like terms.

distributive property coefficient like terms expression
• #### Graphing Radical Equations using a Table

How to find the domain and graph radical equations.

• #### Simplifying Radicals using Rational Exponents

How to use rational exponents to simplify higher power and indexed radicals.

• #### Solving an Equation with Radicals

How to solve an equation with a square root.

• #### Multiplying Radicals of Different Roots

How to multiply radicals together when they are different roots.

multiplying roots different index different roots rational exponents
• #### Rational Exponents

How to understand the correlation between radicals and fractional exponents.

• #### Graphing Radical Equations using Shifts

How to graph radical functions without making a table of values.

shift dilation

How to know when to include a plus and minus on a square root problem.

simplifying square roots
• #### Solving Rational Equations with Like Denominators

##### AlgebraRational Expressions and Functions

How to solve rational equations by clearing the denominator.

clearing the denominator common denominator excluded value
• #### Adding/Subtracting Fractions- Like Denominators

##### Pre-AlgebraFractions and MIxed Numbers

Adding and subtracting fractions that have the same denominator, including a visual representation

• #### Dividing Radicals and Rationalizing the Denominator

How to rationalize denominators.

denominator numerator rationalizing the denominator conjugates

How to solve rational equations.

• #### Radicals and Absolute Values

How to know when to include a absolute value when simplifying a square root.

absolute value square roots even root odd power
• #### Adding and Subtracting Polynomials

##### AlgebraPolynomials

How to add or subtract polynomials.

simplify combine like terms
• #### Solving Multi-step Equations

##### AlgebraSolving Equations

How to solve multi-step equations.

expressions equations solutions implying like terms combining like terms