Question

what is the nature of the number [-5+2√5-√5

Answer 1

hey mate gud evening here is ur ans
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$- 5 + 2 \sqrt{5} - \sqrt{5} = - 5 + \sqrt{5}$
5 is rational but root of 5 is irrational
we know that sum or diffenrce of rational and irrational number is irrational
so the ans will be an irrational number

hope it helps you
have a good day ahead