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square roots

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Fractions with roots 2019-02-06
DEBMALYA pose la question :
5/√2+√3 –1/√2–√3
Penny Nom lui répond.
Square roots 2015-09-21
mariana pose la question :
I have read various articles on how to find the square root of irrational numbers and every article out there seems to be very confusing.
i read you answer to LUKOW about irrational numbers and i am still quite confused. Say i want to find the square root of 326. i know that it is between 18 and 19 because 18 is the square root of 324 and 19 is the square root of 361 im just very confused about the rest of the process. Please help! ( if possible i would appreciate two examples. thanks)

Penny Nom lui répond.
Fractions and square roots 2013-12-04
arionne pose la question :
How do you solve a square root with improper fractions like 121 over 49
Penny Nom lui répond.
Rationals 2009-10-30
Jawsh pose la question :
I don't quite understand the whole idea of rationals. If you have 3Squareroot 49. Is that equal to 3Squareroot 7^2? Can you break it down with an example for me please.
Robert Dawson lui répond.
The square root of a fraction 2008-08-24
Lauren pose la question :
How do you solve square roots of fractions? Does the format change if it is either a proper or an improper fraction?

Ex. the square root of 1/4 or the square roots of 80/25

Penny Nom lui répond.
Simplifying square roots 2007-12-19
Ciara pose la question :
How would you calculate 2 to the square root of 8 plus 4 to the square root of 2 minus 5 to the square root of 2?
Stephen La Rocque lui répond.
1-4/square root 3 2007-09-12
Prudence pose la question :
How to solve this question?
1 - 4/√3

Penny Nom lui répond.
Finding square roots 2007-05-17
Chandler pose la question :
I would like an easy way to find the square root of a number.
Gabriel Potter lui répond.
The square root of 4 2006-05-07
MaryBeth pose la question :
I am a high school teacher of Algebra. I was recently teaching square roots to my students and an interesting question arose. Our textbook seems to be inconsistent. I was hoping you might be able to give our department your opinion on who is correct as we are divided on the correct way to teach this. When you take the square root of a number, you get two answers, a positive root and a negative root, correct? Our book presents this as √4 = 2 and -√4 = -2 and ±√4 = ±2. Shouldn't it be taught as there are always two roots, the positive and the negative? It seems to me, there is really no reason to have to use the ± as there are always 2 roots, the positive and the negative. But if the negative sign is given then only the negative answer should be given? What's your take?
Penny Nom lui répond.
Finding square roots 2006-04-12
Fehmida pose la question :
I would like to know about tricks or formulas to do complicated square roots. ex. square root of 1029
Penny Nom and Steve La Rocque lui répond.
Square roots 2006-03-07
Diana pose la question :
Find each square root
Harley Weston lui répond.
Square roots and inequalities 2004-10-25
Waheed pose la question :
Q1. What is the simplest way of finding a square root of any number using just a pen and paper? (I am asking this question because I browsed a few sites a didn't find any method that is simpler than the one I use. so I am just curious.)

Q2. Is it possible that you take an equation and turn it into an inequality by performing same mathematical operations on both sides?

Claude Tardif and Penny Nom lui répond.
Double square roots 2002-02-17
Ali pose la question :
i have a question about how to do double square roots with variables and powers.

example : v/"" v/"" 81y8


Harley Weston lui répond.
Squares of negative numbers 2001-11-03
Susana pose la question :
I wanted to know if I can square a negative number..?
Leeanne Boehm lui répond.
The square root of 20 2001-09-18
Dianna pose la question :
How do you simplify a square root? My daughter tells me that the square root of 20 simplified is 5root4
Penny Nom lui répond.
Primes and square roots 2001-06-14
Paul pose la question :
I have a bit of a math problem. It has to do with determining if a very large number is a prime. One method entails dividing the number by every smaller prime number. If any divide into it, it's not a prime. This would be a big job if the number was something like 400 digits long. Another way I read about was to take the square root of the number and test all the primes less than its square root. The explanation went like this: "When a number is divided by another number that is greater than its square root, the result is a number smaller than the square root. For example, the square root of 36 is 6. Dividing 36 by 2, a smaller number than 6, gives 18, a number that is larger than the square root. To prove that 37 is prime it is only necessary to divide it by primes less than 6, since if it had a prime factor greater than 6, it would have to have one less than 6 as well."

I understand the explanation, up to the last sentence. I fail to see the underlying logic. Why if a prime factor exists below the square does one have to exist above the square too? The number 40 can be divided by the prime 2, a number below its square root, but no other primes can do this above its square root. Have I missed something? What's the logic here?


Claude Tardif and Penny Nom lui répond.
Teaching square roots 2001-05-08
Katie pose la question :
My friend and I are doing a project. We have to teach our class about square roots. What is the easiest way to teach square roots to a class?
Penny Nom lui répond.
Finding roots 2001-02-01
A student pose la question :
My math problem is right now we are working on roots. I don't quite understand how to find the answer to the problems, i was wondering what is the easiest, and fastest way to find the answers to roots?
Penny Nom and Claude Tardif lui répond.
Square roots 2000-10-29
Pamela pose la question :
HERE GOES(I WILL USE Q AS THE SYMBOL FOR SQUARE ROOT):

8(Q2) - 5(Q2) + Q2

SECOND PROBELM IS

(1 + Q2)2

LAST ONE

3/(2-Q5)


Claude Tardif lui répond.
Square roots without a calculator 1999-09-14
Josh Weiner pose la question :
Is there any way to find out a square root without a calculator?
Harley Weston lui répond.
Radicals 1998-09-15
Lana Sabo pose la question :
Question:
fifteen times the square root of twenty, divided by the square root of 2.

nine subtract the square root of forty-five, divided by 3.

the square root of 18 plus the square root of 12, divided by the square root of 3.
Harley Weston lui répond.

Square Roots and Functions. 1997-04-23
Ed pose la question :
1. In most texts the solution to a question such as square root x = -6 is

x is undefined.

Yet when teaching to solve
xsquared = 36
x = +6 or -6

There appears to be a contradiction here. My question is when, where and why do we use the principle square root, not both + and -? This often occurs as the extraneous root in the solution of radical equations and in stating the domain and range of functions involving square roots.

2. Are there any simple rules for determining whether equations are functions without graphing them and doing a vertical line test?
Harley Weston lui répond.

Approximating roots. 1996-11-04
Ben Dixon pose la question :
How do you calculate a square root? eg the square root of 2.

There is obviously some sort of successive approximation type algorithm for doing it to however many decimal places is required, but what is the algorithm?
Harley Weston lui répond.

Square roots 1996-03-16
Terry King and John pose la question :
We are just curious about how to manually calculate square roots.
Harley Weston lui répond.
Algorithms for roots 1996-02-22
Charles Hewitt pose la question :
I have seen an algorithm for finding the square root of numbers. Are there similar such algorithms for higher roots?
Harley Weston lui répond.
 
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