My Math Forum Simplifying Nested Fractions

 Algebra Pre-Algebra and Basic Algebra Math Forum

 March 6th, 2017, 02:52 PM #21 Newbie   Joined: Feb 2017 From: USA Posts: 28 Thanks: 1 I logged into edX. They have a go at your own pace course available that looked interesting: Arizona State University: MAT117 College Algebra and Problem Solving This is a step below precalculus and seemed appropriate. The initial assessment consists of a 30 question test to see what you know. There is a button to opt out of questions that you do not know. I had to hit that one a few times... At the end it lists what you have 'mastered' versus what is left to learn. Apparently from that quick assessment, I have 'mastered' 80 of the 419 topics, LOL. A bit gimmicky, but I will pursue it while looking to pickup an Algebra text from somewhere. Thanks for all the help all!! I will keep you posted, I am sure I will be back with questions.
 March 6th, 2017, 08:53 PM #22 Member   Joined: Sep 2016 From: India Posts: 88 Thanks: 30 $\dfrac{\sqrt{4-x^2}-\dfrac{1}{2\sqrt{4-x^2}}}{4-x^2}$ Take LCM $\Rightarrow\dfrac{\dfrac{2(4-x^2)-1}{2\sqrt{4-x^2}}}{4-x^2}$ $\Rightarrow\dfrac{2(4-x^2)-1}{2(4-x^2)^{3/2}}$ $\Rightarrow\dfrac{8-2x^2-1}{2(4-x^2)^{3/2}}$ $\Rightarrow\dfrac{7-2x^2}{2(4-x^2)^{3/2}}$

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