Question

Find the cube (√9-1/3)

Answer 1

Answer:

Step-by-step exradial 9 is 3

then 3-1/3=(9-1 )/3=8/3planation:

Answer 2

Answer:

$\frac{512}{27}$

Step-by-step explanation:

Solution :

1st method,

$\sqrt{9} - \frac{1}{3} \\ \\ 3 - \frac{1}{3}$

Cubing,

${(3 - \frac{1}{3} )}^{3} \\ \\ {3}^{3} - {( \frac{1}{3}) }^{3} - 3.3. \frac{1}{3} (3 - \frac{1}{3} ) \\ \\ 27 - \frac{1}{27} - 3( \frac{9 - 1}{ 3} ) \\ \\ \frac{729 - 1}{27} - 8 \\ \\ \frac{728 - 216}{27} \\ \\ \frac{512}{27}$

2nd method,

$\sqrt{9} - \frac{1}{3} \\ \\ 3 - \frac{1}{3} \\ \\ \frac{9 - 1}{3} \\ \\ \frac{8}{3}$

cubing,

${ (\frac{8}{3}) }^{3} \\ \\ \frac{512}{27}$

Simple.