Question

what is the nature of the number, rational or irritational "-5+2√-5√5"​

Answer 1

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$- 5 + 2 \sqrt{ - 5} \sqrt{5} \\ - 5 + 2 \times ( \sqrt{5 \times - 5} ) \\ - 5 + 2 \times 5( \sqrt{ - 1}) \\ - 5 + 10 \sqrt{ - 1}$

it is an irrational number