Before you start writing, take a few moments to write down the work experience you've gained in your career that's relevant to the position you're applying for as well as any skills you have that make you an attractive candidate. Don't waste time with skills or experiences that aren't relevant to the position — you're trying to show why you're a good choice for this job specifically, not any random job. For instance, let's say that you're applying for a government job in an IT position. If you have past experience in computer/technology-related positions, you'll definitely want to include this. You probably won't want to include unrelated work, like the summer's worth of experience we got from working on a fishing barge. In addition, you'll want to include any proprietary skills we have that might aid in our job, like knowledge of basic programming languages. Most sources agree that EOIs should be as clear and concise as possible. To make the task of keeping your EOI brief easier, it can be useful to boil the point of your EOI down to a single sentence (as you might do for your thesis statement when writing an essay for school). Since it can seem a little blunt or mercenary to simply write, "I want this letter to get me a job," try to focus on what the job means to personally and professionally and how you can excel in the position. For instance, in our IT position example, you might whittle your EOI's purpose down to something like the following: "The purpose of this letter is to demonstrate how I can use my unique skills and experience in a high-demand IT role." You probably wouldn't want to be so cavalier as to say, "The purpose of this letter is to show that I'm the best and that I should get the job." Theoretically, someone applying for a job opening may have many other choices. Just as your EOI should tell your employer why you are a good fit for the job, it should also tell why the job is a good fit for you, What about this job makes it more appealing than other ones? How does it match up with your personal and professional goals? Employers love hearing why their job is more attractive to you than other ones because it makes you seem loyal from the get-go.  Don't be overly-frank here, but don't be entirely dishonest either. For instance, if you're mostly taking the job for the money, don't outright say this because most employers will be hesitant to hire someone with no loyalty to anything other than their paycheck. Instead, try focusing on the other things that make the job appealing to you, even if they're minor — the hourly flexibility, the valuable experience it will give you, the opportunities you'll have in the position, and so on. For instance, if you're applying for the government IT position described above, you might want to talk about how a job with the government gives you a chance to use your skills to serve the greater good of the community. You wouldn't just say, "I want this job for the salary and the cushy benefits." Ultimately, your EOI should prove to your potential employer that you're the best choice out of all the people applying for the position. Spend some time thinking about why you as a person may be a better choice than a hypothetical applicant with exactly the same experience as you. Think about the intangibles you bring to the position. Some things you may want to consider are:  Your personality. Someone who's otherwise well-qualified for a certain position may not get it simply because they aren't the right "fit" for the workplace. For instance, in a retail position, an open, communicative personality is a must. Your availability. Different jobs demand different hourly commitments — some are standard nine-to-fives, while others have odd hours or may require work on evenings or weekends. Your career path. Employers are more likely to hire people for whom the job being offered is a logical career move — in other words, it can be unattractive to an employer to hire someone for whom the job represents a major "change of course" in their career because it's less certain that they'll stay with the job long term.
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One-sentence summary -- Take stock of your past skills and experiences. Give your EOI a main "point" or focus. Determine exactly why you want this job. Explain why you are a better choice than other applicants.

Article: The coefficients are the numbers outside of a radical. If there is no given coefficient, then the coefficient can be understood to be 1. Multiply the coefficients together. Here's how you do it:   Ex. 1: 3√(2) x √(10) = 3√( ? ) 3 x 1 = 3   Ex. 2: 4√(3) x 3√(6) = 12√( ? ) 4 x 3 = 12 After you've multiplied the coefficients, you can multiply the numbers inside the radicals. Here's how you do it:   Ex. 1: 3√(2) x √(10) = 3√(2 x 10) = 3√(20)  Ex. 2: 4√(3) x 3√(6) = 12√(3 x 6) = 12√(18) Next, simplify the numbers under the radicals by looking for perfect squares or multiples of the numbers under the radicals that are perfect squares. Once you've simplified those terms, just multiply them by their corresponding coefficients. Here's how you do it:  3√(20) = 3√(4 x 5) = 3√([2 x 2] x 5) = (3 x 2)√(5) = 6√(5) 12√(18) = 12√(9 x 2) = 12√(3 x 3 x 2) = (12 x 3)√(2) = 36√(2)
Question: What is a summary of what this article is about?
Multiply the coefficients. Multiply the numbers inside the radicals. Simplify the product.