Solve 1/2*29sqrt{16.5*9.8/0.002}

$$\frac{ 1 }{ 2 \times 29 } \sqrt{ \frac{ 16.5 \times 9.8 }{ 0.002 } }$$

Evaluate

$$\frac{35\sqrt{66}}{58}\approx 4.902436968$$

Solution Steps

Multiply 2 and 29 to get 58.

$$\frac{1}{58}\sqrt{\frac{16.5\times 9.8}{0.002}}$$

Multiply 16.5 and 9.8 to get 161.7.

$$\frac{1}{58}\sqrt{\frac{161.7}{0.002}}$$

Expand \frac{161.7}{0.002} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{58}\sqrt{\frac{161700}{2}}$$

Divide 161700 by 2 to get 80850.

$$\frac{1}{58}\sqrt{80850}$$

Factor 80850=35^{2}\times 66. Rewrite the square root of the product \sqrt{35^{2}\times 66} as the product of square roots \sqrt{35^{2}}\sqrt{66}. Take the square root of 35^{2}.

$$\frac{1}{58}\times 35\sqrt{66}$$

Multiply \frac{1}{58} and 35 to get \frac{35}{58}.

$$\frac{35}{58}\sqrt{66}$$