Question

Calculate the value of 3√216
by using prime

factors

Answer 1

Answer: 43,2

Explanation:

`\bf 3√(216 )=3\cdot 6√(6)=18√(6) \approx43.2 \\\\ √(216) =\sqrt{ 2^(3)\cdot 3^3}=√(2^2\cdot 3^2\cdot 3\cdot 2)=3\cdot 2√(3\cdot 2) =6√(6)`