Solve 78/52^2sqrt{89}=

$$\frac{ 78 }{ { 52 }^{ 2 } \sqrt{ 89 } } =$$

Evaluate

$$\frac{3\sqrt{89}}{9256}\approx 0.003057686$$

Solution Steps

Calculate 52 to the power of 2 and get 2704.

$$\frac{78}{2704\sqrt{89}}$$

Rationalize the denominator of \frac{78}{2704\sqrt{89}} by multiplying numerator and denominator by \sqrt{89}.

$$\frac{78\sqrt{89}}{2704\left(\sqrt{89}\right)^{2}}$$

The square of \sqrt{89} is 89.

$$\frac{78\sqrt{89}}{2704\times 89}$$

Cancel out 26 in both numerator and denominator.

$$\frac{3\sqrt{89}}{89\times 104}$$

Multiply 89 and 104 to get 9256.

$$\frac{3\sqrt{89}}{9256}$$