Solve 2^2+frac{sqrt{2}}{3}

$$2 ^ { 2 } + \frac { \sqrt { 2 } } { 3 }$$

Evaluate

$$\frac{\sqrt{2}}{3}+4\approx 4.471404521$$

Short Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4+\frac{\sqrt{2}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{3}{3}.

$$\frac{4\times 3}{3}+\frac{\sqrt{2}}{3}$$

Since \frac{4\times 3}{3} and \frac{\sqrt{2}}{3} have the same denominator, add them by adding their numerators.

$$\frac{4\times 3+\sqrt{2}}{3}$$

Do the multiplications in 4\times 3+\sqrt{2}.

$$\frac{12+\sqrt{2}}{3}$$

Factor

$$\frac{\sqrt{2} + 12}{3} = 4.471404520791032$$