Question

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Answer 1

`11+(2√(15))/(3)`

Explanation:

`11 + √((-4 + 6*4/3)) \\\\11+\sqrt{(-4+6* \:4)/(3)}\\\\\sqrt{(-4+6* \:4)/(3)}=(2√(5))/(√(3))\\\\=11+(2√(5))/(√(3))\\\\(2√(5))/(√(3))=(2√(15))/(3)\\\\=11+(2√(15))/(3)`