Solve 156969/4sqrt{2*1000}

$$\frac{ 156969 }{ 4 \sqrt{ 2 } \times 1000 }$$

Evaluate

$$\frac{156969\sqrt{2}}{8000}\approx 27.748461084$$

Solution Steps

Multiply 4 and 1000 to get 4000.

$$\frac{156969}{4000\sqrt{2}}$$

Rationalize the denominator of \frac{156969}{4000\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{156969\sqrt{2}}{4000\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{156969\sqrt{2}}{4000\times 2}$$

Multiply 4000 and 2 to get 8000.

$$\frac{156969\sqrt{2}}{8000}$$