Simplifying Radical Expressions

Slides:



Advertisements
Similar presentations
10.3 Simplifying Radical Expressions
Advertisements

The Distance Formula Lesson 9.5.
4.6-Square Roots and the Pythagorean Theorem CATHERINE CONWAY MATH081.
EXAMPLE 3 Use addition of complex numbers in real life Electricity Circuit components such as resistors,inductors, and capacitors all oppose the flow of.
The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
Special Right Triangles
Radical Jeopardy $100 $200 $300 $400 $500 Final Jeopardy
10.7 Write and Graph Equations of Circles Hubarth Geometry.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’
4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA
Section 3Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Simplifying Radical Expressions Use the product rule for.
Radicals: Application and Problem Solving § 9.6. Angel, Elementary Algebra, 7ed 2 Pythagorean Theorem Revisited The square of the hypotenuse of a right.
MA.912.G.5.1 : Apply the Pythagorean Theorem and its Converse. A.5 ft B.10 ft C. 15 ft D. 18 ft What is the value of x? x 25 ft 20 ft.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
The Pythagorean Theorem. The Parts of a right triangle a b c l egs hypotenuse a² + b² = c².
Lesson 6-4 Example Example 3 Determine if the triangle is a right triangle using Pythagorean Theorem. 1.Determine which side is the largest.
Bellwork 1) 2) 3) Simplify. Lesson 7.1 Apply the Pythagorean Theorem.
Things to remember: Formula: a 2 +b 2 =c 2 Pythagorean Theorem is used to find lengths of the sides of a right triangle Side across from the right angle.
Bell Ringer Use the Pythagorean Theorem to find the length of the hypotenuse.
How do we determine absolute value of complex numbers? Do Now: Explain “absolute value.” What is the distance formula? Do Now: Explain “absolute value.”
Applying the Pythagorean Theorem and Its Converse Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.
Finding the distance between two points. (-4,4) (4,-6)
Topic 5-1 Midpoint and Distance in the Coordinate plan.
Distance Formula Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra.
The Pythagorean Theorem Only works for right triangles.
3/11-3/ The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.
Algebra Core Review Day 8. Unit 17: Radicals How do you simplify radicals? When you add or subtract radicals they must be _______! How do you multiply.
How can you prove the Pythagorean Theorem by using the diagram below?
GEOMETRY HELP A right triangle has legs of length 16 and 30. Find the length of the hypotenuse. Do the lengths of the sides form a Pythagorean triple?
Pythagorean Theorem & Distance Formula Anatomy of a right triangle The hypotenuse of a right triangle is the longest side. It is opposite the right angle.
Altitude-on-hypotenuse. Find the value of x x 4√3 10 x = 4√3 4√3 x + 10 x x = 163 x x – 48 = 0 (x – 4)(x + 12) = 0 x = 4 x = -12.
Distance Formula: EQ: What is the distance formula?
– Use Trig with Right Triangles Unit IV Day 2.
EXAMPLE 3 Use addition of complex numbers in real life Electricity Circuit components such as resistors,inductors, and capacitors all oppose the flow of.
Warm-Up Find x. 2x+12 =6 12x=24 √25 = x.
Chapter 16 Inductive AC Circuits.
Roots, Radicals, and Root Functions
The Distance and Midpoint Formulas
Midpoint And Distance in the Coordinate Plane
Midpoint And Distance in the Coordinate Plane
Bellringer Simplify each expression 5 ∙ ∙ 8.
The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.
11.4 Pythagorean Theorem.
Quiz Review.
6-3 The Pythagorean Theorem Pythagorean Theorem.
Chapter 1: Lesson 1.1 Rectangular Coordinates
Finding the Distance Between Two Points.
Math Humor Q: What keeps a square from moving?.
5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA
Radical Equations and Problem Solving
10.3 and 10.4 Pythagorean Theorem
Jeopardy.
Unit 5: Geometric and Algebraic Connections
Distance between two points
8.1 Pythagorean Theorem and Its Converse
Unit 3: Coordinate Geometry
6.5 Pythagorean Theorem.
Radical Equations and Problem Solving
The Distance Formula Lesson 9.5.
Warm Up:.
Unit 1 Test Review.
Pythagorean Theorem.
10-1 The Pythagorean Theorem
Triangle Relationships
Roots, Radicals, and Root Functions
Presentation transcript:

Simplifying Radical Expressions

The Product Rule

The Product Rule

Cannot be simplified using the product rule because the index 4 and 5 are different.

Cannot be simplified using the product rule because the index 4 and 5 are different. We would have to use another rule that we will discuss later.

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

Pythagorean Theorem c2 = a2 + b2 Find the length of the hypotenuse let a = 4 and b = 6

where R is the resistance and X is the reactance, both in ohms. The impedance Z of an alternating series circuit is given by the formula where R is the resistance and X is the reactance, both in ohms. Find the value of the impedance if R = 40 ohms and X = 30 ohms

where R is the resistance and X is the reactance, both in ohms. The impedance Z of an alternating series circuit is given by the formula where R is the resistance and X is the reactance, both in ohms. Find the value of the impedance if R = 40 ohms and X = 30 ohms

where R is the resistance and X is the reactance, both in ohms. The impedance Z of an alternating series circuit is given by the formula where R is the resistance and X is the reactance, both in ohms. Find the value of the impedance if R = 40 ohms and X = 30 ohms

where R is the resistance and X is the reactance, both in ohms. The impedance Z of an alternating series circuit is given by the formula where R is the resistance and X is the reactance, both in ohms. Find the value of the impedance if R = 40 ohms and X = 30 ohms

where R is the resistance and X is the reactance, both in ohms. The impedance Z of an alternating series circuit is given by the formula where R is the resistance and X is the reactance, both in ohms. Find the value of the impedance if R = 40 ohms and X = 30 ohms

The Distance Formula Find the distance between the points (-3,5) and (6,4)

Lesson 7.3 # 1 - 92