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Question: Calculation of double square root

Question:Calculation of double square root

taro 495 Maple 2017
radical simplification
January 02 2018
1

A Happy New Year, people in mapleprimes,

I have a question, but this might be an inappropriate question to this site.

In Introduction to Maple, there is a calculation with a double square root.
Related to it, I want to calculate the following expression, which has a value of zero.

-3*(sqrt(10+4*sqrt(5)))+sqrt(50+20*sqrt(5))+sqrt(10-4*sqrt(5))+sqrt(50-20*sqrt(5));

Is there any way to use maple  so as to explain how the above expression takes the value of zero?

On earth, I cannot understand why this takes zero.

I hope you will give me a hint.

Thanks in advance.

 
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