Solving Quadratic Equations When Both Sides are Perfect Squares
Solving an equation in which both sides are perfect squares does not require putting the equation into standard form.
Radicals Whose Radicands are Perfect Squares
A radical and its parts are explained and the procedure for simplifying a radical whose radicand is a perfect square is illustrated. A practical application for this skill is presented.
Simplifying the Square Root of Larger Numbers
Simplifying the square root of a larger number.
Roots Other Than Square Roots
Simplifying radicals with cube roots and other roots.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Roots of Variables
Simplifying radicals with cube and other roots and variables.
Simplifying a Radical by Factoring the Radicand
Simplifying a radical by factoring the radicand is demonstrated. The goal of simplifying a radical is to make an expression easier to deal with by getting the smallest number possible under the radical sign.
Practical Problem: Skid Marks and Speeding Cars
A practical application for using an approximate square root is illustrated in finding the speed a car was travelling before an accident occurred.
Simplifying Radicals Using Multiplication
Radicals are simplified using multiplication, illustrating when to multiply first and then find the square root of the product and when to find the square root first and then multiply.
Simplifying Radicals With Variables
Using the rules for simplifying radicals with numbers in the radicand to simplify radicals with variables.