B.P.S.C. School Teacher/Headmaster 09.12.2023

If x, y and z are positive real numbers, then $\sqrt[5]{3125x^{10}y^5z^{10}}$ will be equal to?

a$5x^2yz^2$✓ Correct
b$25x^3y^2z$
c$125x^3yz^2$
dMore than one of the above
eNone of the above

Explanation

$$ \frac{\sqrt[5]{3125x^{10}y^5z^{10}}}{\sqrt[5]{5 \times 5 \times 5 \times 5 \times 5 x^{10}y^5z^{10}}} = 5x^2yz^2 $$

general-mental-ability