Question

Find the cube root of the: $\frac{2744}{35937}$

• A. $\frac{14}{33}$
• B. $\frac{4}{33}$
• C. $\frac{14}{3}$
  
• D. $\frac{14}{31}$
  

Answer 1

The correct option is A $\frac{14}{33}$

$Primefactorizationof35937and2744,2744=7^3\ast 2^{3}35937={33}^3\frac{2744}{35937}=\frac{2^3\ast 7^3}{{33}^3}\sqrt[3]{3\frac{2744}{35937}}=\frac{14}{33}$