Solve 7sqrt{6^2}+sin(45)

$$7 \sqrt{ { 6 }^{ 2 } } + \sin ( 45 )$$

Evaluate

$$\frac{\sqrt{2}}{2}+42\approx 42.707106781$$

Short Solution Steps

Calculate 6 to the power of 2 and get 36.

$$7\sqrt{36}+\sin(45)$$

Calculate the square root of 36 and get 6.

$$7\times 6+\sin(45)$$

Multiply 7 and 6 to get 42.

$$42+\sin(45)$$

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

$$42+\frac{\sqrt{2}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 42 times \frac{2}{2}.

$$\frac{42\times 2}{2}+\frac{\sqrt{2}}{2}$$

Since \frac{42\times 2}{2} and \frac{\sqrt{2}}{2} have the same denominator, add them by adding their numerators.

$$\frac{42\times 2+\sqrt{2}}{2}$$

Do the multiplications in 42\times 2+\sqrt{2}.

$$\frac{84+\sqrt{2}}{2}$$