Search for tag: "square root"

Introduction to simplifying a product of radical expressions: Univariate

Just a quick couple of examples, one explaining the relationship between squaring and square rooting and one that just shows how to multiply two radical expressions that need no reduction.

From  Tom Grant 8 plays 0  

Solving an equation of the form x^2 = a using the square root property

Discusses the square root property, then encourages the viewer to write a list of perfect squares in the marginfor reference. Lasly, three examples are presented and solved.

From  Tom Grant 7 plays 0  

Solving a quadratic equation by completing the square: Exact Answers

Two examples are shown here, one relatively easy, then one with some fractions involved.

From  Tom Grant 4 plays 0  

Rationalizing a denominator: Quotient involving square roots

This shows how to multiply by a form of one created by using the irrational denominaor to multiply by the top and the bottom of the fraction creating a whole number denominaor.

From  Tom Grant 9 plays 0  

Simplifying a quotient of square roots

Shows that the division of sqaure roots is equivalent to the square root of a fraction, and then simplifies the fraction to complete the task.

From  Tom Grant 8 plays 0  

Simplifying a radical expression with an odd exponent

Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.

From  Tom Grant 18 plays 0  

Simplifying the square root of a whole number less than 100

Thisi shows how to break down a square root by dividing out perfect squares that can become whole numbers.

From  Tom Grant 18 plays 0  

Square root of a perfect square

Shows how square rooting is the opposite of squariing

From  Tom Grant 7 plays 0  

Solving a radical equation that simplifies to a quadratic equation: One radical, advanced

Squaring both sides of this equation means squaring a binomial. This is demonstrated by this video.

From  Tom Grant 27 plays 0  

Solving a radical equation that simplifies to a linear equation: Two radicals

This demonstrates how to solve an equation where two radicals are equal and there are no other terms on either side of th equation

From  Tom Grant 30 plays 0  

Rationalizing a denominator: Square root of a fraction

This video shows how to multiplly the top and bottom of a square root of a fraction to get the result of a rational number in the denominator.

From  Tom Grant 11 plays 0  

Square roots of perfect squares with signs

This describes what to look for when simplifying radicals.

From  Tom Grant 15 plays 0  

Word problem involving the Pythagorean Theorem

Application of the equation relating the three sides of a right triangle:: a^2 + b^2 = c^2 where a and b are the shorter sides that make the rigiht angle and c is the lenght of the longest side.

From  Tom Grant 18 plays 0  

Pythagorean Theorem

A quick run through the use of a^2 + b^2 = c^2 to find an unknown side of a right tirangle if we know the other two sides.

From  Tom Grant 14 plays 0