Question

Cube root of 4913 by prime factorization

Answer 1

Answer:

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

Step-by-step explanation:

Resolving given number 4913 into product of prime factors.

17| 4913

__________

17 | 289

__________

*****17

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

Therefore,

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

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Answer 2

Cube root of 4913 by prime factorization is 17

Solution:

The cube root of 4913 is 17.

If we divide 4913 by 17, we get $\frac{4913}{17}= 289$

If we divide again 289 by 17, we get $\frac{289}{17} = 17$

So we can see here that $4913 = (17\times17\times17)$

So the cube root of 4913 is = 17.