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Two Approaches for Dividing Radicals
01:41

Two Approaches for Dividing Radicals

Two approaches to simplifying radical expressions using division when the radical in the numerator and the radical in the denominator are perfect squares. Another guideline for simplifying radicals is introduced: all fractions must be reduced to low...

Solve: 3x(x - 2) = 14
02:11

Solve: 3x(x - 2) = 14

The equation 3x(x - 2) = 14 is solved using the quadratic formula.

Solving Quadratic Equations When Both Sides are Perfect Squares
01:34

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.

Radicand Divided by Another Radicand, A
01:04

Radicand Divided by Another Radicand, A

Simplifying a radical expression by dividing the radical in the numerator by the radical in the denominator.

Radicals Whose Radicands are Perfect Squares
01:38

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
01:31

Simplifying the Square Root of Larger Numbers

Simplifying the square root of a larger number.

Roots Other Than Square Roots
01:24

Roots Other Than Square Roots

Simplifying radicals with cube roots and other roots.

Solving a Quadratic Equation Using the Quadratic Formula
03:46

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
03:22

Roots of Variables

Simplifying radicals with cube and other roots and variables.

Simplifying a Radical by Factoring the Radicand
02:04

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.