Solve 492^2/.38sqrt{2245}

$$\frac{ { 492 }^{ 2 } }{ .38 \sqrt{ 2245 } }$$

Evaluate

$$\frac{2420640\sqrt{2245}}{8531}\approx 13444.307472006$$

Solution Steps

Calculate 492 to the power of 2 and get 242064.

$$\frac{242064}{0.38\sqrt{2245}}$$

Rationalize the denominator of \frac{242064}{0.38\sqrt{2245}} by multiplying numerator and denominator by \sqrt{2245}.

$$\frac{242064\sqrt{2245}}{0.38\left(\sqrt{2245}\right)^{2}}$$

The square of \sqrt{2245} is 2245.

$$\frac{242064\sqrt{2245}}{0.38\times 2245}$$

Multiply 0.38 and 2245 to get 853.1.

$$\frac{242064\sqrt{2245}}{853.1}$$

Divide 242064\sqrt{2245} by 853.1 to get \frac{2420640}{8531}\sqrt{2245}.

$$\frac{2420640}{8531}\sqrt{2245}$$