Math
posted by Kiera
How do I do square roots when you have the numbers 42 and 84? This is the best way I could explain it. Hope you know what I'm talking about.

drwls
In my case, I use a hand calculator. Before they existed, I used a log table or a slide rule. There is a pencilandpaper way to calculate square roots that are not integers, but it is rather complicated. Almost no one teaches it anymore. If that is what you want, I may be able to find you a reference.
In the meantime: sqrt(42) = 6.481..
sqrt(84) = 9.165.. 
Kiera
I would love you to teach me the method because i am not sure if state tests will ask for that.

Reiny
There is an example of the method us "oldtimers" had to learn as students, and which I taught to my students before calculators were available.
http://www.homeschoolmath.net/teaching/squarerootalgorithm.php
Go about one page down on the site to where it says
"Finding a square root using an algorithm"
and see if you can follow their example.
To attempt to explain it here and show it here is a bit too complicated. 
Reiny
Here is another example using a larger number.
The nice thing about this method is that it gives you the exact decimals up to your point of progress in the solution.
Also it will work for the calculation of square roots of decimals, but you have to start the initial pairing of digits from the decimal point, pairing them going to both the left and the right of the decimal
http://www.homeschoolmath.net/teaching/squarerootalgorithmexample.php
Respond to this Question
Similar Questions

Math
Roots Ok, what about roots? Roots of polynomials? 
Math
How do you find a square root of a number that's not a perfect square? 
drama
“The best in this kind are but shadows” is A. Titania talking about men. B. Theseus talking about plays. C. Demetrius talking about the women has loved in the past. D. Bottom talking about his fellow craftsmen. 
college algebra
Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 3square roots 18/6=1 this is my answer am I right. check this for me it find the roots of the problem 
social studies
i am talking about slaves and i don't understand what this sheet is talking about it is made like a moutain 1..is talking about exposition 2.Is talking about rising action 3. Is talking about climax its at the top of the moutain then … 
Literature
The best in this kind are but shadows" is A. Titania talking about men. B. Theseus talking about plays. C. Demetrius talking about the women he has loved in the past. D. Bottom talking about his fellow craftsmen. 
SAT MATH
I don't remember what problem I struggled to understand... But it was something like this... There are 3000 numbers so how many of them are odd.. SometI don't remember what problem I struggled to understand... But it was something … 
math
Please help I'm so confused!!!! 1. Which two square roots are used to estimate the square root of 5? 
Algebra I
There are 7 square roots. (1) sqrt40 (2) sqrt75 (3) sqrt90 (4) sqrt245 (5) sqrt450 (6) sqrt640 (7) sqrt675 My assignment is to estimate the values of these square roots. I am allowed to estimate using either the Babylonian Method or … 
Math
Two consectutive numbers with square roots that have a difference of 33. Please help, I'm 12.