Solve =(5.49)(230.38)^2(0.0625)(0.3)^2/9sqrt{3}

$$= ( 5.49 ) ( 230.38 ) ^ { 2 } ( 0.0625 ) \frac { ( 0.3 ) ^ { 2 } } { 9 \sqrt { 3 } }$$

Evaluate

$$\frac{24281787063\sqrt{3}}{400000000}\approx 105.143222229$$

Solution Steps

Calculate 230.38 to the power of 2 and get 53074.9444.

$$5.49\times 53074.9444\times 0.0625\times \frac{0.3^{2}}{9\sqrt{3}}$$

Multiply 5.49 and 53074.9444 to get 291381.444756.

$$291381.444756\times 0.0625\times \frac{0.3^{2}}{9\sqrt{3}}$$

Multiply 291381.444756 and 0.0625 to get 18211.34029725.

$$18211.34029725\times \frac{0.3^{2}}{9\sqrt{3}}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$18211.34029725\times \frac{0.09}{9\sqrt{3}}$$

Rationalize the denominator of \frac{0.09}{9\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$18211.34029725\times \frac{0.09\sqrt{3}}{9\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$18211.34029725\times \frac{0.09\sqrt{3}}{9\times 3}$$

Multiply 9 and 3 to get 27.

$$18211.34029725\times \frac{0.09\sqrt{3}}{27}$$

Divide 0.09\sqrt{3} by 27 to get \frac{1}{300}\sqrt{3}.

$$18211.34029725\times \frac{1}{300}\sqrt{3}$$

Multiply 18211.34029725 and \frac{1}{300} to get 60.7044676575.

$$60.7044676575\sqrt{3}$$