Question

find the value of √686/1024^3​

Answer 1

Answer:

7/11

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

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