Solve (6.4+0.019)^3/sqrt{43.9-9.9}+0.031^2

$$\frac { ( 6.4 + 0.019 ) ^ { 3 } } { \sqrt { 43.9 - 9.9 } } + 0.031 ^ { 2 }$$

Evaluate

$$\frac{264485658059\sqrt{34}}{34000000000}+0.000961\approx 45.359877148$$

Solution Steps

Add 6.4 and 0.019 to get 6.419.

$$\frac{6.419^{3}}{\sqrt{43.9-9.9}}+0.031^{2}$$

Calculate 6.419 to the power of 3 and get 264.485658059.

$$\frac{264.485658059}{\sqrt{43.9-9.9}}+0.031^{2}$$

Subtract 9.9 from 43.9 to get 34.

$$\frac{264.485658059}{\sqrt{34}}+0.031^{2}$$

Rationalize the denominator of \frac{264.485658059}{\sqrt{34}} by multiplying numerator and denominator by \sqrt{34}.

$$\frac{264.485658059\sqrt{34}}{\left(\sqrt{34}\right)^{2}}+0.031^{2}$$

The square of \sqrt{34} is 34.

$$\frac{264.485658059\sqrt{34}}{34}+0.031^{2}$$

Divide 264.485658059\sqrt{34} by 34 to get \frac{264485658059}{34000000000}\sqrt{34}.

$$\frac{264485658059}{34000000000}\sqrt{34}+0.031^{2}$$

Calculate 0.031 to the power of 2 and get 0.000961.

$$\frac{264485658059}{34000000000}\sqrt{34}+0.000961$$