If $$\text{a}^{\frac{1}{3}}=6$$, then find the value of $$\text{a}^2-36\text{a}$$

Correct option is B

Given: ​

​$$\text{a}^{\frac{1}{3}}=6$$ 

To find: $$\text{a}^2-36\text{a}$$ 

Solution: ​

​$$\text{a}^{\frac{1}{3}}=6 \\ \ \\ \implies a = 6^3 = 216$$ 

Now, putting the value of a;

​$$\text{a}^2-36\text{a} \\ \ \\ = a(a-36) \\ \ \\ = 216(216 - 36) \\ \ \\ =216(180) = 38880$$​​