Question

find cube root of following perfect square cube number by above mentioned three methods
a) 2744. b) 4913​

Answer 1

Answer:

Refer this for a)

Refer this for b)

=17

Step-by-step explanation:

Resolving given number 4913 into product of prime factors.

17| 4913

__________

17 | 289

__________

*****17

$$\begin{lgathered}Cube \: root \: of \:4913 \\=\sqrt[3]{17\times 17 \times 17}\\=17\end{lgathered}$$

Therefore,

$$\sqrt[3]{4913}=17$$

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