Powers of Roots
Date: 05/14/2001 at 11:47:31 From: Angel Doll Subject: Exponents before square roots What do you do when you have a small number in front of a square root? For example: 3(except it's a little three)sqrt of -216. Thank you very much, Angel
Date: 05/14/2001 at 12:24:39 From: Doctor Douglas Subject: Re: Exponents before square roots Hi Angel, and thanks for writing. The little number tells you the power of the root that is being taken. If the number is a 3, for example, then we are talking about a cube root. If the number is a 2, or is missing, then we are talking about a square root. ____ / /\ / 64 = 8 the square root of 64 is 8. \/ ____ 3 / /\ / -125 = -5 the cube root of -125 is -5. \/ ____ 7 / 7 /\ / 10 = 10 the seventh root of ten million is 10. \/ _____ 2 / 4 2 2 /\ / x y = x y the square root of x^4 y^2 is x^2 y. \/ I hope this helps. Please write back if you have more questions about this. - Doctor Douglas, The Math Forum http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.