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Browse Middle School Square Roots
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Selected answers to common questions:
Square roots without a calculator.
Table of squares & square roots, 1-100.
- 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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