# How Do U Find The Square Root Of A Number

Friday, November 11th 2022. | Sample Excel

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This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After achieving an excellent 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How Do U Find The Square Root Of A Number

There are 7 references mentioned in this article, which can be found at the bottom of the page.

## Square Root Of Perfect & Non Perfect Squares: Videos, Methods, Example

Calculating the square root is easy if you have a perfect square. If you haven’t, there is a logical process you can follow to systematically calculate the square root of any number, even if you don’t use a calculator. But first you will need to understand the basics of multiplication, addition and division.

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After achieving an excellent 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 579,779 times.

To find the square root of a number without a calculator, see if you can get to that whole number with the square of smaller numbers or multiply the smaller number by itself. If the number is a perfect square, get the whole number as the square root. Otherwise, try to square the numbers with the decimal point until you have as close as possible to the original number. If you want to learn how to estimate the square root of imperfect squares, keep reading! While adding some expenses on the calculator yesterday, I noticed the square root button, and the memory of calculating the square root by hand popped into my head.

I think it was in 8th grade math. It would not be covered in Algebra, Geometry, Trig, or PreCalc. At least I don’t think so. We were taught the method, but not the theory – probably because the theory was too complex for us to absorb at our current level of mathematical education.

## How To Calculate The Square Root Of A Number? — Newton Raphson Method

However, with an easily disturbed mind, I gave up my calculations and decided to prove to myself that I could still do it, even though I probably hadn’t used it for nearly sixty years. I grabbed a pen and paper and got to work, choosing a random four-digit number (3, 346).

I was amazed that I could do the math right away. I just wrote the number, put in the sign of the square root, and started as if I had done it routinely all my life. Here is my calculation. The original work was a bit messy, so I reproduced it more cleanly.

(1) Begin with a number, and from the decimal point, in either direction, mark every two digits with an apostrophe. Obviously, with an integer there will be nothing but zeros to the right of the decimal point.

(2)  Starting at the far left, determine which whole number squared is equal to or less than that one- or two-digit number. In this case it is 5, because 6 squared is greater than 33. Place this number in the row of solutions, above 33.

### Solved: Find The Indicated Roots And Graph Them In The Complex Plane: The Square Roots Of 4v/3 + 4i Im Wo W1 Wo W1 Referring To The Labels From The Graph You

(3) Square the number, in this case: 25, and subtract from 33 and reduce the “46” as you have the long division, except that you leave two digits. This gives you 846.

(4) Now multiply the partial answer you have arrived at so far (5) by 20, which results in 100.  Determine which number when multiplied by 100 plus that number is closest to 846 without exceeding it – and do that calculation. The choices are 1 x 101,   2 x 102,   3 x 103, etc. In this case, the correct number is 7.  Subtract the answer (749) from 846 and leave a “00” next to the result – like long division.

(5) Multiply the new partial answer (57) by 20 and proceed as in the step above – resulting in 1148 x 8 and so on. Continue the process through as many decimal places as you want in your answer. In case 3, the decimal string 346 goes to infinity – so I stopped at six.

This knowledge is completely useless today. Just load the number and click or press the square root button in our mobile phone calculator or portable calculator or our computer, and

### The Square Root Function

– immediate response. But of course, in the old days of my school days, our only alternatives were either to find an approximation on the slide line or to actually do the calculation as above. We use cookies to make us great. By using our site, you accept our cookies policy. Cookie settings

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After achieving an excellent 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he graduated with a degree in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

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In the days before calculators, students and teachers had to calculate the square root by hand. Several different methods have been developed to solve this unfortunate process, some of which give a rough approximation, others give an exact value. To learn how to find the square root of a number using only simple operations, see Step 1 below to get started.

#### Square Roots And Logarithms Without A Calculator (part 3)

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as providing college admissions counseling and test preparation for the SAT, ACT , ISEE, etc. After scoring an excellent 800 in math. and a 690 English score on the SAT, David received a Dickinson Scholarship at the University of Miami, where he graduated with a degree in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 2,430,456 times.

To calculate the square root manually, first estimate the answer to find the 2 perfect square roots between which the number lies. A perfect square root is any square root that is an integer. For example, if you are trying to find the square root of 7, you first need to find the first perfect square below 7, which is 4, and the first perfect square above 7, which is 9. Then find the square root of each one. perfect frame. The square root of 4 is 2, and the square root of 9 is 3. So you know that the square root of 7 is somewhere between 2 and 3. Now divide your number by one of the perfect square roots you found. For example, divide 7 by 2 or 3. If you choose 3, your answer would be 2.33. Then find the average of that number and the perfect square root. To find the mean in this example, add 2.33 and 2, then divide by 2 to get 2.16. Repeat the process with the average you obtained. First, divide the number whose square root you are trying to find by the mean. Then find the mean of that number and the original mean by adding and

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