# 13.2 Simplifying Radicals - Kyrene School District

13.2 Simplifying Radicals Teacher: If you add 20, 567, to 23, 678 and then divide by 97, what do you get? Jim: The wrong answer. 13.2 Simplifying Radicals Definitions: Radicands: Expressions under

other than 1 8 = 22 No radicands contain fractions. 3 = 13 4 No radicals appear in the denominator of a fraction. 1=1 4 2

2 13.2 Simplifying Radicals Properties of Radicals: The square root of a product equals the product of the square roots of the factors. ab = a x b The square root of a quotient equals the quotient

of the square roots of the numerator and denominator. a/b = a b 13.2 Simplifying Radicals http://my.hrw.com/math06_07/nsmedia/hom ework_help/alg1/alg1_ch11_06_homeworkh elp.html (Professor Burger) Choose example 2, 3, and 4.

13.2 Simplifying Radicals Example 1 50 = 25 x 2 = 25 x 2 = 52 3/4 = 3 4 = 3 2

13.2 Simplifying Radicals If the radical in a denominator is not the square root of a perfect square, then a different strategy is required. 13.2 Simplifying Radicals

Example 2 1/ 2 To simplify this expression, multiply the numerator and denominator by 2. (It is equivalent to multiplying the original fraction by 1) 13.2 Simplifying Radicals

1/ 2 = 1 2 2 2 = __2 . 2 2 = 2 2 13.2 Simplifying Radicals Example 3 Finding the area of a rectangle whose width is 2 inches and whose length is 30 inches. Give the result in exact form

and in decimal form. bh = A 2 inches 30 2 30 inches 30(2) 60 13.2 Simplifying Radicals The simplified form = 60 = 4 15

= 4 15 = 2 15 square inches Decimal approximation = 60 7.75 square inches. Assignment: 13-2 Page 652

1-23

## Recently Viewed Presentations

• Immigrants and the War. In 1939, the government created a list of Italian, German, and Japanese living in the U.S. and considered "enemy aliens" that could pose a dangerous threat. In 1940, these enemy aliens were required to register with...
• SG 3 - Strategic Group on Smart Grid. SG 3 (Strategic Group) on Smart Grid, set up by the . IEC SMB (Standardization Management Board), provides advice on fast-moving ideas and technologies likely to form the basis for new International...
• Vertical Milling Coordinate System Work Offsets Work Offsets G54-G59 G54 X & Y aligned with vice jaw left front Set G54 Z to height of top of work (type number, press F1) Offsets Setting Work Offset Tool Offsets Select tool...
• "IF" a Government Headstone/Marker/Medallion was claimed/ordered through the Federal Department of Veterans' Affairs for the deceased Veteran, then an additional allowance may be claimed to assist in the offset of the expense incurred to have that Government Headstone/Marker/Medallion placed or...
• Angle An angle consists of two different rays that have the same endpoint. The rays are the sides of the angle. The initial point is the vertex of the angle. The angle that has sides AB and AC is denoted...
• Positive reinforcements include: pep rallies, assemblies, before or after school snack rewards, cafeteria privileges. Panther gold cards, Panther Power coupons, Panther Pride Points, and year end field trips. Consequences for poor behavior include Options Room visits, lunch detention, after school...
• Word Problems Looking for Key Words! Steps for Solving Word Problems Read the problem twice! Look for key words! Draw a picture! Write a number sentence! Solve the problem! Check your answer to see if it makes sense! Addition Word...
• The fracture gradient is defined as the pressure increase per unit of the depth due to its density and it is usually measured in pounds per square inch per foot or bars per meter. The rock cracks and the fracture...