Question

Find the cube root of the following rational number

-686/-2662

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Answer 1

-686/-2662=686/2662

=343/1331. dividing both by2

=3^√343/1331

=7/11 is correct answer

Answer 2

Answer:

Step-by-step explanation:

If x and a are two rational numbers such that x³= a then we will say that x is the cube root of a and we will write - ³√a

Thus, to find the cube root of any number we use the formula -  

∛(a/b) = (∛a)/(∛b)  

Thus,  

-686/-2662  

= 343/1331  

= (∛343)/(∛1331)

= (∛7 x 7 x 7)/(∛11 x 11 x 11 )

= 7/11

Thus the cube root of 686/2882 is 7/11