Simplifying radicals

Branys

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Jan 10, 2021
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Hi Everyone,

So Im new here, and Ive been out of high school for almost 13 years and recently joined economics university, where I have maths exam soon, but it looks like Im struggling with some basics.

I am working on my derivatives now, but before that I am struggling in simplifying before I can do that. Please find attached picture of my steps, where result I get is x^2, but according to the site it should be x-1/6.

I believe I used correct steps for simplifying root to fractions and dividing fractions with same base, but it looks like I did skip some rule :)

Thank you in advance
 

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tkhunny

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You were done at \(\displaystyle x^2\), why did you keep going? Somehow, you should point out that \(\displaystyle x \gt 0\). That's not obvious from the final expression, but it's pretty clear in the original expression.
 

JeffM

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What was the original problem? What you did was fine, but perhaps you made an error earlier.
 

Dr.Peterson

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Nov 12, 2017
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Hi Everyone,

So Im new here, and Ive been out of high school for almost 13 years and recently joined economics university, where I have maths exam soon, but it looks like Im struggling with some basics.

I am working on my derivatives now, but before that I am struggling in simplifying before I can do that. Please find attached picture of my steps, where result I get is x^2, but according to the site it should be x-1/6.

I believe I used correct steps for simplifying root to fractions and dividing fractions with same base, but it looks like I did skip some rule :)

Thank you in advance
1610498557364.png

I believe you misread (or they miswrote) the expression. It was really \(\frac{x\sqrt[3]{x}}{\sqrt{x^3}}\), not \(\frac{x^3\sqrt{x}}{\sqrt{x^3}}\)!

As I tell students, make sure you tuck that index in the crook of your arm so you don't drop it.
 

Branys

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Jan 10, 2021
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View attachment 24316

I believe you misread (or they miswrote) the expression. It was really \(\frac{x\sqrt[3]{x}}{\sqrt{x^3}}\), not \(\frac{x^3\sqrt{x}}{\sqrt{x^3}}\)!

As I tell students, make sure you tuck that index in the crook of your arm so you don't drop it.
Oh you are right there, I feel stupid now. But at least lesson learnt here :) Thank you!
 
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