TOPICS
This page:
square roots
Search
Dr. Math
See also the
Dr. Math FAQ:
square/cube roots
Internet Library:
exponents/roots
MIDDLE SCHOOL
About Math
Algebra
equations
factoring expressions
graphing equations
Arithmetic
division
exponents
factorials
factoring numbers
fractions/percents
logarithms
Definitions
Geometry
2dimensional
conic sections/
circles
triangles/polygons
3D and higher
polyhedra
History/Biography
Logic
Measurement
calendars/
dates/time
temperature
terms/units
Number Sense
factoring numbers
negative numbers
pi
prime numbers
square roots
Probability
Puzzles
Ratio/Proportion
Statistics
Word Problems

Browse Middle School Square Roots
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Square roots without a calculator.
Table of squares & square roots, 1100.
 2 Divided by the Square Root of 2 [11/10/1995]

Why does 2/sqrt 2 = sqrt 2 ?
 Adding Square Roots [12/26/2001]

What is the square root of 3 + the square root of 27?
 Finding Roots with a Scientific Calculator [05/15/2000]

How do you calculate the 8th root, or any other root, of a number using a
scientific calculator?
 Finding Square Roots [09/06/1998]

Can you explain why the algorithm for finding square roots works, without
using algebra?
 Finding square roots [6/17/1996]

How do you find the square root of a number?
 Formula for Calculating Square Roots [1/28/1995]

What is the formula for calculating square roots?
 Longhand Square Roots [03/30/1998]

How do you find the square root of any number? Is there an easy formula?
 Opposite of an Exponent [05/18/1997]

What is the opposite of an exponent?
 Square root of 1 [11/8/1994]

Hey Dr. Math  Do you know the square root of 1?
 Square Root of 3 [5/31/1996]

What is the square root of 3?
 Square Root of 64 [6/20/1996]

I would like to know the square root of 64.
 Square Roots and Exponents [2/2/1996]

What is a "square root" of something? What are "powers to 7"?
 Square Roots: Estimate, Divide, Average [02/04/1997]

Is there a longhanddivisionandguess method for finding square roots?
 Square Roots: Guess, Divide, Average [6/23/1996]

Is there a formula for finding square roots?
 12 a Square Number? [11/07/2002]

Is 12 a square number? If it is, what is the square root of 12?
 9x^2 = 64 [03/22/2003]

I am trying to figure out what 9x^2 = 64 is.
 Adding Radicals [9/11/1996]

How do I add radicals that aren't roots of perfect squares?
 Algebra for Equivalence [11/12/2011]

A teacher's warning about algebraic manipulations troubles a student. With simple
examples, Doctor Peterson shows how dividing by a variable may destroy solutions, how taking roots may introduce extraneous ones, and how factoring makes both more explicit, all while emphasizing caution with assumptions.
 Bakhshali Formula [12/15/2002]

I came across this formula for calculating square roots by hand.
 Calculating 4th Roots, 5th Roots... [05/05/1999]

Is there an easy way to calculate roots of any given depth?
 Calculators and Irrational Numbers [05/02/2001]

When I square the square root of 11 on any calculator, I get the answer
11 (exactly). That seems to indicate that the square root of 11 is a
rational number, but it's not. Can you explain this?
 Computing Square Roots Manually [03/05/1998]

Using the bisection method to compute square roots manually.
 Conventions of Square Roots [11/24/1998]

I think that the square root of 81 equals positive or negative 9, but my
teacher says that it is just positive 9...
 Decimal Square Roots [10/19/1998]

Is there any way to get a terminating decimal answer to a square root
without taking the square root of a perfect square?
 Definition of Negative Square Roots [03/08/2004]

I know that the square root of 49 = 7 since 7 x 7 = 49. But the
negative square root of 49 is 7. Is this because (7) x (7) also
equals 49 or because the square root of 49 is 7 and the negative stays
because it is not involved with the operation? My teacher wrote
SQRT(49) = 7 because (7) x (7) = 49.
 Dividing and Multiplying Radicals [03/07/1999]

How do you multiply the square root of 3/4 by the square root of 4/5?
 Dividing Radicals [02/15/1999]

How do you simplify 7 sqrt32 / (5 sqrt63) ?
 Edge of a Cube Given Volume [10/06/1997]

I am a teacher currently teaching volume to a class of Grade 5 pupils.
 Exact Answers for Square Roots [04/16/2006]

My teacher says that one of the problems with using calculators is
that you don't always get exact answers. I don't understand why.
Aren't calculators accurate?
 Finding a Square Root by Reasoning [11/18/2004]

What's the square root of 40,000,000? I can't figure it out.
 Finding Square Roots [02/07/2002]

I would like to know what the square root of 3612 is.
 Fractional Exponents [12/07/2003]

When a number is raised to a power like 4/3 or 3/5, how is it done?
 How Can the Product of Two Radicals Be Finite? [06/27/2006]

How is it possible that sqrt(5) * sqrt(20), each of which is by itself
an infinite number, can make exactly 10 when they are multiplied?
 How to Pronounce a Fraction of a Percentage [07/07/2005]

Is it correct to say "one tenth of one percent" as opposed to saying "one tenth percent" for 0.1%? Why or why not?
 Irrational Equations [06/02/2002]

I know what a rational equation is, but what's an irrational equation?
 Is 14798678562 or 15763530163289 a Perfect Square? [12/08/2002]

Examine both the units digits and the digital roots of perfect squares
to help determine whether or not a given number is a perfect square.
 Line Segment Representing Sqrt(3) [10/07/2002]

Draw a line segment that represents radical 3.
 Manual Method for Finding Square Roots [9/11/1995]

I'm looking for a manual method to find a square root of a number. Many
years ago we were taught how to do it, but my memory is failing me, and
with the calculator it's too easy.
 Mental Math Tricks  Finding Two Digit Square Roots [12/03/2003]

Do you know if there is any trick behind looking at a number which is
the result of a two digit number having been squared and being able to
tell what the number was that was squared?
 Method to Find Square Root of Pi [03/30/1997]

How do I calculate the square root of Pi?
Page: 1
2
3
[next>]
