
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 7th, 2007, 09:46 PM  #1 
Newbie Joined: Aug 2007 Posts: 1 Thanks: 0  Square Root and Square Problem
I stumbled upon the fact that this equation is true: n² / (√n * n) = √n But for the life of me, I cannot comprehend why. Maybe if I wrote it in a different way I would be able to see the relationship between the integers better, but my small brain cannot understand why this works Any help? Last edited by skipjack; June 23rd, 2015 at 03:10 PM. 
August 7th, 2007, 10:02 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
i. √n * n ≠ 0 ii. n^(1/2+1) = n^3/2 ≠ 0 iii. n ≠ 0^2/3 iv. n² / (√n * n) = n^(2(1/2)1) = n^1/2 
August 8th, 2007, 05:39 AM  #3 
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0 
n² / (√n * n) = n² / (n^(1.5)) = n^(0.5) = √n

August 8th, 2007, 10:06 AM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
√n is just n raised to the power of 1/2. √n times n is just n raised to the power of 1.5 = 1/2 + 1. n raised to power of 2 divided by n raised to the power of 1.5 is n raised to the power of 0.5 = 2  1.5. This is just √n. All this assumes, of course, that n > 0. 

Tags 
problem, root, square 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
a double square root fraction simplify problem  wuzhe  Algebra  8  October 14th, 2012 07:43 AM 
the square root of n^2 = n, for n > 0. (logic problem)  wawar05  Algebra  7  December 10th, 2011 08:24 AM 
Square root  guru123  Algebra  7  October 28th, 2011 02:07 PM 
square root  johnny  Algebra  4  August 8th, 2007 10:03 AM 
Need some help with (square) root  rain  Academic Guidance  1  December 31st, 1969 04:00 PM 