check whether _5+2√5-√5 is an rational or a irrational
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Given, -5 + 2√5 - √5
We shall take √5 common in the 2nd and 3rd terms and solve it
-5 + √5 ( 2 - 1 ) = -5 + √5
As we cannot add or subtract rational and irrational numbers, we cannot simplify further.
As the number as a whole contains an irrational number, the whole number is an irrational number.
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