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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.
 Subtleties of Radical Equations [12/07/2003]

Can you explain how to solve radical equations, like sqrt(5x) = 1.5?
 Surd Trick [02/14/2012]

A student struggles to evaluate an expression with nested square roots. Doctor Vogler
shares a substitution that starts with introducing more exponentiation.
 Table of Square Roots [05/12/2000]

Do you have a table of square roots that are already worked out?
 To Identify Perfect Roots, Multiply, Guess, Memorize, or Factorize [06/21/2011]

An adult learner wonders how to figure out perfect cube and square roots. Doctor
Peterson outlines how to use factoring and informed guessing  based on
memorizing a few common powers  and offers calculator guidance.
 Using Conjugates to Simplify Radicals [08/04/1998]

When using conjugates, how do we know when to change the sign? For
example, how would we simplify 1/[3+sqrt(3)sqrt(6)]?
 Using the Ones Digit to Estimate Square Roots [02/11/2005]

I am having trouble figuring out square roots quickly. For bigger
numbers like 289, I have to try a lot of numbers before I get the
answer. Is there some way to do this more easily?
 What is the Square Root of 8? [6/13/1996]

What is the square root of 8?
 What's the Square Root of 75? [08/18/2002]

Is the square root of 75 15(sqrt 5) or 5(sqrt 15)?
 Why Can't the Square Root of a Negative Number Be a Real Number? [12/07/2003]

Can you explain why you can't find the square root of a negative
number on the real number line?
 Why Does the Order of Square/Square Root Matter? [8/28/1996]

Why does the square root of x^2 equal absolute value of x, but the square
of the square root of x equals just plain old x?
 Why Do We Rationalize Fractions? [11/29/2005]

Why do we have to simplify fractions that have a radical in the
denominator to remove that radical and rationalize the denominator?
Why is that important?
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