Question

Find the value of (64)^2 +root 3 32768

Answer 1

$\sqrt[3]{32768} = \sqrt[3]{ {2}^{15} } = {2}^{15 \div 3} = {2}^{5} = 32 \\ {64}^{2} = ({ {2}^{6} })^{2} = {2}^{6 \times 2} = {2}^{12} = 4096 \\ {64}^{2} + \sqrt[3]{32768} = 4096 + 32 = 4128$