Square Root of a Product, The
Illustrations of the rule for multiplying radicals: the square root of a times the square root of b equals the square root of the product a times b.
Square Roots of Decimal Numbers and Perfect Square Decimals
Finding the square root of a decimal is discussed, noting that any decimal that does not have an even number of places after the decimal cannot have an exact square root.
Two Factoring Problems
Simplifying more complex radicals with numbers and variables.
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.
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.