Simplify Radicals - Free PowerPoint Presentations for teachers 简化基-教师免费PowerPoint演示文稿.pptVIP

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2018-06-22 发布于江西
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Simplify Radicals - Free PowerPoint Presentations for teachers 简化基-教师免费PowerPoint演示文稿.ppt

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Simplify Radicals - Free PowerPoint Presentations for teachers 简化基-教师免费PowerPoint演示文稿.ppt

DO NOW: SOLVE THE INEQUALITY BY FOLLOWING THE STEPS WE HAVE LEARNED OVER THE LAST TWO DAYS. THEN WE WILL GRAPH TOGETHER ON THE CALCULATOR; HOW DO WE SIMPLIFY RADICALS? If x2 = y then x is a square root of y. 1. Find the square root: 8 2. Find the square root: -0.2 3. Find the square root: 11, -11 4. Find the square root: 21 5. Find the square root: 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth. 6.82, -6.82 What numbers are perfect squares? 1 ? 1 = 1 2 ? 2 = 4 3 ? 3 = 9 4 ? 4 = 16 5 ? 5 = 25 6 ? 6 = 36 49, 64, 81, 100, 121, 144, ... 1. Simplify Find a perfect square that goes into 147. 2. Simplify Find a perfect square that goes into 605. Simplify . . . . How do you simplify variables in the radical? Look at these examples and try to find the pattern… 4. Simplify Find a perfect square that goes into 49. Simplify 3x6 3x18 9x6 9x18 What are Perfect Cubes? 13 = 1 x 1 x 1 = 1 23 = 2 x 2 x 2 = 8 33 = 3 x 3 x 3 = 27 43 = 4 x 4 x 4 = 64 53 = 5 x 5 x 5 = 125 and so on and on and on….. NTH ROOTS a square (second) root is written as: a cube (third) root is written as: a fourth root is written as:? a fifth root is written as:? SIMPLIFY ANSWERS 1. 7 2. -2 3. 3xy2 ASTRONOMY A special form of Kepler’s Third Law of Planetary Motion is given by where a is the average distance of an object from the Sun in AU (astronomical units) and P is the period of the orbit in years. If an object is orbiting the Sun with a period of 12 years, what is its distance from the Sun? * 1. simplify square roots, and 2. simplify radical expressions. In the expression , is the radical sign and64 is the radicand. What is the answer to ? As a general rule, divide the exponent by two. The remainder stays in the radical. 5. Simplify 2 2 2 x 2 = 4 3 x 3 = 9 3 3 4 x 4 = 16 4 4 5 5 5 x 5 = 25 The square root of 4 is 2 The square root of 9 is 3 The square roo