Question

If X = $\sqrt[3]{3\frac{1728}{125}}$, then the value of (X - 0.4) is ___.

Answer 1

Here X = $\sqrt[3]{3\frac{1728}{125}}$

1728 = $12\times 12\times 12$ = ${12}^3$

125 = $5\times 5\times 5$ = $5^3$

So, X = $\sqrt[3]{3\frac{{12}^3}{5^3}}$

$\Rightarrow$ X = $\frac{12}{5}$ = 2.4

The question is asked for X - 0.4 = 2.4 - 0.4 = 2

Hence 2 is the answer