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Simplify the following expression to a simplified fraction: 580+8459+455

 Jun 12, 2021
 #1
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Let's take the inside first and rationalize the denominator. (note that the outer square root still exists, it's just more convenient this way).

 

5(580+8459+45)55.

 

Simplifying the fraction gives

 

5580+659+155

 

Simplifying the fraction further gives 

 

54+659+155

 

Doing some basic operations (adding and dividing) gives us 

 

16936

 

Finally, we finish by applying the outer square root. This gives us 

 

16936=136,

which is our final answer.  The $\LaTeX$ on that one was tough!

 Jun 12, 2021
edited by xCorrosive  Jun 12, 2021

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