Is -5+2 root 5-root 5 irrational – InterviewSolution

1.

Is -5+2 root 5-root 5 irrational

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I'll assume you mean

is $-<klux>5</klux>+2\sqrt{5}-\sqrt{5}$ rational ?

$-5+2\sqrt{5}-\sqrt{5}\\\\=-5+\sqrt{5}$

-5 is rational, and $\sqrt{5}$ is irrational, and the sum of rational and irrational is also irrational

so, the above number is irrational

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