Question

[3{125^1/3+64^1/3}]1/3

Answer 1

Answer:

$\left(3125^{\frac{1}{3}}+64^{\frac{1}{3}}\right)\frac{1}{3}=\frac{5\times \:25^{\frac{1}{3}}+4}{3}\quad \left(\mathrm{Decimal:\quad }\:6.20669\dots \right)$

Step-by-step explanation:

$\left(3125^{\frac{1}{3}}+64^{\frac{1}{3}}\right)\frac{1}{3}$

$=\frac{1}{3}\left(5\cdot \:25^{\frac{1}{3}}+4\right)$

$\mathrm{Multiply\:fractions:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}}$

$=\frac{1\times \left(5\times \:25^{\frac{1}{3}}+4\right)}{3}$

$=\frac{5\times \:25^{\frac{1}{3}}+4}{3}$