by which smallest number 33275 can be multiplied so that the result is a perfect cube.also find the cube root for the resulting cube
Well...I could multiply by (1/25) and that would give us
33275 *(1/25) = 1331 and that's a perfect cube of 11
Or...I could multiply by 0 and that would give us
33275 * 0 = 0 and that's the perfect cube of 0
Or...I could multiply by -5 and that would give us
-166375 and that's a perfect cube of (-55)
Is this what you were asking??.....Is there a "smallest" number??
First look at the prime factors of 33275
$${factorize}{\left({\mathtt{33\,275}}\right)} \Rightarrow \left\{ \begin{array}{l}{\mathtt{25}} = {{\mathtt{5}}}^{{\mathtt{2}}}\\
{\mathtt{1\,331}} = {{\mathtt{11}}}^{{\mathtt{3}}}\\
\end{array} \right\}$$
i.e. $$33275=5^2*11^3$$
This should give you a clue.
Well...I could multiply by (1/25) and that would give us
33275 *(1/25) = 1331 and that's a perfect cube of 11
Or...I could multiply by 0 and that would give us
33275 * 0 = 0 and that's the perfect cube of 0
Or...I could multiply by -5 and that would give us
-166375 and that's a perfect cube of (-55)
Is this what you were asking??.....Is there a "smallest" number??