Solve sin45+2sqrt{9}

$$\sin 45 + 2 \sqrt { 9 }$$

Evaluate

$$\frac{\sqrt{2}}{2}+6\approx 6.707106781$$

Short Solution Steps

Get the value of \sin(45) from trigonometric values table.

$$\frac{\sqrt{2}}{2}+2\sqrt{9}$$

Calculate the square root of 9 and get 3.

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

Multiply 2 and 3 to get 6.

$$\frac{\sqrt{2}}{2}+6$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{2}{2}.

$$\frac{\sqrt{2}}{2}+\frac{6\times 2}{2}$$

Since \frac{\sqrt{2}}{2} and \frac{6\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{2}+6\times 2}{2}$$

Do the multiplications in \sqrt{2}+6\times 2.

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