Question

Find the cube root by prime factorisation 46656

Answer 1

Answer:

Answer:

$\sqrt[3]{46656} = 36$

Step-by-step explanation:

2| 46656

__________

2| 23328

__________

2| 11664

__________

2| 5832

__________

2| 2916

__________

2| 1458

__________

2| 729

__________

3| 243

___________

3| 81

___________

3| 27

___________

3| 9

___________

**3

Therefore,

Cube root of 46656

= \sqrt[3]{2^{6}\times 3^{6}}\\=2^{2}\times 3^{2}\\=4\times 9\\=36

$= \sqrt[3]{2^{6}\times 3^{6}}\\=2^{2}\times 3^{2}\\=4\times 9\\=36 </p><p>$