Solve (4.3+0.058)^3/sqrt{21.3-5.3}+0.004^2

$$\frac { ( 4.3 + 0.058 ) ^ { 3 } } { \sqrt { 21.3 - 5.3 } } + 0.004 ^ { 2 }$$

Evaluate

$$20.691978678$$

Solution Steps

Add 4.3 and 0.058 to get 4.358.

$$\frac{4.358^{3}}{\sqrt{21.3-5.3}}+0.004^{2}$$

Calculate 4.358 to the power of 3 and get 82.767850712.

$$\frac{82.767850712}{\sqrt{21.3-5.3}}+0.004^{2}$$

Subtract 5.3 from 21.3 to get 16.

$$\frac{82.767850712}{\sqrt{16}}+0.004^{2}$$

Calculate the square root of 16 and get 4.

$$\frac{82.767850712}{4}+0.004^{2}$$

Expand \frac{82.767850712}{4} by multiplying both numerator and the denominator by 1000000000.

$$\frac{82767850712}{4000000000}+0.004^{2}$$

Reduce the fraction \frac{82767850712}{4000000000} to lowest terms by extracting and canceling out 8.

$$\frac{10345981339}{500000000}+0.004^{2}$$

Calculate 0.004 to the power of 2 and get 0.000016.

$$\frac{10345981339}{500000000}+0.000016$$

Add \frac{10345981339}{500000000} and 0.000016 to get \frac{10345989339}{500000000}.

$$\frac{10345989339}{500000000}$$

Factor

$$\frac{7 \cdot 733 \cdot 224041 \cdot 3 ^ {2}}{2 ^ {8} \cdot 5 ^ {9}} = 20\frac{345989339}{500000000} = 20.691978678$$