Wednesday

September 17, 2014

September 17, 2014

Posted by **Aria** on Saturday, April 16, 2011 at 1:51am.

- algebra -
**MathMate**, Saturday, April 16, 2011 at 9:11amYou echo what I think also.

However, for square roots, it is a little more complicated (but not difficult) than long division if you need many figures for your answer.

For doing it by hand, you can try:

http://www.wikihow.com/Calculate-a-Square-Root-by-Hand

or

http://www.homeschoolmath.net/teaching/square-root-algorithm.php

Better still, most square-roots can be calculated**mentally**, based on Newton's method.

The more squares of integers you can memorize, the more accurate your estimate of the answer will be.

If you need the square root of 37, you know the closest perfect square is 36.

So take 6 as a first estimate. Divide the residue of (37-36)=1 by twice the estimate to get 1/12=0.083. So the estimate of √37 is 6.083.

The answer to 6 places after the decimal is 6.0827625.

To calculate the square-root of 11, if you know by memorization that 33^2=1089, then the first estimate is 3.3 (since 3.3²=10.89)

Divide the residue of 11/10.89=0.11 by twice 3.3 gives 1/60, or 0.01667.

This gives our first estimate as 3.31667.

The exact value to 6 decimal places is 3.316625

**Answer this Question**

**Related Questions**

another problem - what is the square root of 3.467 x 10^8? I relaly do not know ...

Math - Hi,I need to know how to do question like this without using a calculator...

algebra I - for my homework I have to graph 4 equations: 1. y=1/4x^2+3x-3 2. y=-...

math - How do I find out on a standard calculator what this is: A=1/2 (4 3 )(48...

MATH! HELP!!! - I am putting < for the square root abbreviation. I don't know...

Math PLEASE HELP ASAP - -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...

math!! - what is 73.44 divided by 3.6?? punch it in a calculator yeah exactly ...

Algebra - I used an online math site, to explain quadratic equations. But the ...

Precalculus - What is the square root of 2 to the poweer of (1/3)? In order to ...

Math - 5L= ?cL 102mL= ?L 1895g= ?kg 2.3kg= ?g What is the square root of 36/49? ...