Answer the following questions related to roots.

MATHEMATICS · Multi-part · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Answer the following questions related to nthn^{\text{th}} roots. (i) Define the nthn^{\text{th}} root of a positive real number. (ii) Explain why a negative number can have a real cube root but cannot have a real square root. (iii) Find the cube root of −125-125 and justify your answer.

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