
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 27th, 2018, 02:20 PM  #1 
Newbie Joined: Jan 2017 From: London Posts: 4 Thanks: 0  Simplify simple expressions
Hi there, Can someone please take a look at the attachment i.e. question 3. I'm going through simplification processes and I understand the two principles to be: 1. Combine like terms 2. Factorize similar terms I've applied this principle exercise 1 and 2 in the attachment but at quite a loss as to how to apply this principle to exercise 3. A step by step procedure to the solution would be much appreciated. Thanks 
February 27th, 2018, 02:58 PM  #2 
Senior Member Joined: May 2016 From: USA Posts: 1,119 Thanks: 464 
Rationalize the denominator. $\sqrt{a} + \dfrac{b}{\sqrt{a}} =$ $\sqrt{a} + \left ( 1 * \dfrac{b}{\sqrt{a}} \right )=$ $\sqrt{a}+ \left ( \dfrac{\sqrt{a}}{\sqrt{a}} * \dfrac{b}{\sqrt{a}} \right )=$ $\sqrt{a} + \dfrac{b\sqrt{a}}{\sqrt{a} * \sqrt{a}} =$ $\sqrt{a} + \dfrac{b\sqrt{a}}{a} =$ $\sqrt{a} * \left (1 + \dfrac{b}{a} \right ) = \sqrt{a} * \dfrac{a + b}{a}.$ 
February 27th, 2018, 06:24 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,505 Thanks: 1741 
Or $\displaystyle \sqrt{a} + \frac{b}{\sqrt{a}} = \frac{a}{\sqrt{a}} + \frac{b}{\sqrt{a}} = \frac{a + b}{\sqrt{a}}$, etc.

March 5th, 2018, 04:19 AM  #4  
Newbie Joined: Jan 2017 From: London Posts: 4 Thanks: 0 
I appreciate the step by step follow through Quote:
 

Tags 
expressions, simple, simplify 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Set theory: simplify algebraic expressions  DecoratorFawn82  Abstract Algebra  3  September 1st, 2017 03:12 AM 
simple expressions  hkg277340  PreCalculus  4  December 3rd, 2016 12:08 PM 
How to simplify these log expressions?  Anon321  Algebra  2  July 26th, 2014 01:37 AM 
Simple boolean expressions  gregnolan  Applied Math  2  October 13th, 2009 10:23 PM 
Simplify expressions..  resch  Algebra  1  September 29th, 2009 02:12 AM 