Solve 6000*2*2/sqrt{2}

$$6000 \times 2 \times \frac { 2 } { \sqrt { 2 } }$$

Evaluate

$$12000\sqrt{2}\approx 16970.562748477$$

Solution Steps

Multiply 2 and 6000 to get 12000.

$$12000\times \frac{2}{\sqrt{2}}$$

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

$$12000\times \frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$12000\times \frac{2\sqrt{2}}{2}$$

Cancel out 2 and 2.

$$12000\sqrt{2}$$