Find the cube root of the following numbers using prime factorisation:
4913
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Answer:
Step-by-step explanation:
Resolving given number 4913 into product of prime factors.
17| 4913
__________
17 | 289
__________
*****17
\begin{gathered}Cube \: root \: of \:4913 \\=\sqrt[3]{17\times 17 \times 17}\\=17\end{gathered}
Cuberootof4913
=
3
17×17×17
=17
Therefore,
\sqrt[3]{4913}=17
3
4913
=17
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