![]() Then, divide your number by one of those square root numbers.This process also starts with you trying to find the closest whole numbers that your number falls in between. If you keep trying different numbers using this process, you will eventually get to 4.475X4.475 = 20.03. Thus, the square root of 20 must lie in between 4.5 and 4.4. For example, 4.5X4.5 = 20.25, so logically you should try a smaller number, probably 4.4.If the guess seems off, simply try another guess (maybe 4.6 or 4.4) and refine your guess until you hit 20. That means you multiply it by itself: 4.5X4.5. Now, simply square 4.5 to check your guess. You could guess that 20’s square root is 4.5.Similarly, 25 has a square root of 5 (5X5=25), so the square root of 20 must fall in between 4 and 5. You know that 16 is a perfect square with a square root of 4 (4X4=16). Let’s say you want to find the square root of 20.It's tougher to figure out square roots of numbers that are not whole. Take a guess at it, and use the process of elimination. This article has been viewed 680,810 times. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. There are 7 references cited in this article, which can be found at the bottom of the page. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. ![]() After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. ![]() With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. This article was co-authored by David Jia. ![]()
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