In Example 3, put a sign before the first radical of the first illustration and then
Question:
In Example 3, put a − sign before the first radical of the first illustration and then simplify.
Data from Example 3
To further illustrate the method of handling square roots of negative numbers, consider the difference between
For these expressions, we have
For √−3 √−12, we have the product of square roots of negative numbers, whereas for √(−3)(−12), we have the product of negative numbers under the radical. We must be careful to note the difference.
√-3√-12 and √(-3)(-12).
Step by Step Answer:
Putting a sign before the first radical of the ...View the full answer
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
Related Video
The square of a number is the result of multiplying that number by itself. This is also known as \"raising a number to the power of 2\" or \"squaring a number\". The concept of squaring a number is important in many areas of mathematics and science, including geometry, trigonometry, and physics. It is also used in computer programming and data analysis. The square of a number is always positive, except for the square of 0, which is 0. When a negative number is squared, the result is positive. For example, the square of -3 is 9, since (-3) x (-3) = 9. To square a two-digit number, you can use the following formula: (A x 10 + B)^2 = A^2 x 100 + 2AB x 10 + B^2 Where A represents the tens digit and B represents the ones digit of the two-digit number. In this video, you can learn a fascinating math technique to quickly compute the square of any two-digit number. This trick involves three simple steps that enable you to arrive at the answer in a matter of seconds. The video demonstrates this method using three different examples, and you can try it out yourself and share your score in the comments section. You can also see how other students are performing using this technique.
Students also viewed these Mathematics questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
100 grams of R-134a initially fill a weighted piston-cylinder device at 60 kPa and 220oC. The device is then heated until the temperature is 100oC. Determine the change in the device's volume as a...
-
a. Look at figure 17.9 b. What is the titer as shown? In Figure b. If the titer had been 40, would a different interpretation be made as to the immune status of the patient? c. Which patients are...
-
For a series RL circuit, it can be shown that the rms (I.E., effective value) of the asymmetrical fault current is given by the following equation where = f t is time in cycles X = L/ = 2 f L is...
-
You have been engaged by the management of Alden, Inc. to review its internal control over the purchase, receipt, storage, and issue of raw materials. You have prepared the following comments which...
-
The balance sheet debit column of the worksheet for Hamidi Company includes the following accounts: Accounts Receivable $12,500; Prepaid Insurance $3,600; Cash $4,100; Supplies $5,200; and Debt...
-
Mary Rose is an experienced court reporter for the Daily News , a national newspaper. She attends the hearing of a sexual assault charge in the County Court in Melbourne. On the first day of the...
-
A computer analysis of an experiment showed that the fraction f of viruses surviving X-ray dosages was given by where d is the dosage. Express this with the denominator rationalized. f = 20 d+3d + 400
-
Perform the indicated operations for the resulting complex numbers if the given changes are made in the indicated examples of this section. In Example 2(a), change the sign of the imaginary part of...
-
Review Figure 212 and complete the blanks below to show the relationships among the four financial statements for Nimmo Brothers Corporation: Figure 2-12 Balance Sheet (12/31/2016) Statement of Cash...
-
A recent Twitter survey indicated that pizza is Americans' favorite food. Explain whether supply or demand is being affected. Also explain how each of the following events affects the equilibrium...
-
It has three three closely spaced roots: 25/15, 25/16, 25/17 (a) Plot p(x) for 1.43 x 1.71. Show the location of the three roots. (b) Starting with the interval [1, 2], show the computed root and the...
-
1. What are decimal number 10 representation of the following numbers? 1001 10102, 1278, and 2FA16 2 2. What is the numeric range of a 16-bit twos complement value? A 16-bit excess notation value? A...
-
We began this lesson wondering who, on average, was faster: Usain Bolt, in a competitive 100-yard foot race, or Marcel Hug, in a competitive 26-mile wheelchair race. You might expect Bolt to be...
-
SHOW ANSWERS IN EXCEL WITH FORMULAS Projecting cash flows. Complete the cash flow projections for project #2. Assume the following: The project has a 10-year life. Revenues are $70,000 in year 1 and...
-
A +4.00% grade meets a 2.00% grade at station 60+00 and elevation 1086.00 ft. Length of first curve 500 ft, second curve 400 ft. Compute and tabulate full-station elevations for an unequal-tangent...
-
Why are stocks usually more risky than bonds?
-
Find and interpret a 95% confidence interval for the difference in mean housing price between New York and New Jersey. Refer to the dataset Homes For Sale, which has data on houses available for sale...
-
A recent study examines chocolates effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark...
-
Exercise 6.116 introduced a study in which 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are...
-
Cedric seeks your advice. Cedric has served a Claim and Statement of Claim on Liu Kwok Wah ("KW") almost 90 days ago for an action commenced in the District Court at Brisbane in relation to a breach...
-
Ace Cosmetics Corporation purchased land adjacent to its plant to improve access for trucks making deliveries. Expenditures incurred in purchasing the land were as follows: purchase price, $55,000;...
-
Find the volume of revolution V about the x-axis for the given function and interval. f(x) = x5/3, [1, 5]
Study smarter with the SolutionInn App