Question

Please Tell The Method To find The Cube root to find 512/27​

Answer 1

Answer:

LONG DIVISION method will be good

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Answer 2

Answer:

8/3

Step-by-step explanation

In these questions we should first find the separate cube roots of numerator and denominator.

The method we use here is Prime Factorisation.

Factorisation of 512

        2 | 512                      Therefore, 512 = 2*2*2*2*2*2*2*2*2

        2 | 256                                              $\sqrt[3]{512}$ = 2*2*2

        2 | 128                                                        = 8

        2 | 64

        2 | 32

        2 | 16

        2 | 8

        2 | 4

        2 | 2

           |  1

   Factorisation of 27

        3 | 27                       Therefore, 27 = 3*3*3                  

        3 | 9                                            $\sqrt[3]{27}$= 3

        3 | 3

           | 1                

Therefore, 512/27 = 8/3