Solve 0.62*2.76-.38*2.76divsqrt{2}

$$0.62 \times 2.76-.38 \times 2.76 \div \sqrt{ 2 }$$

Evaluate

$$-\frac{1311\sqrt{2}}{2500}+1.7112\approx 0.969586408$$

Solution Steps

Multiply 0.62 and 2.76 to get 1.7112.

$$1.7112-\frac{0.38\times 2.76}{\sqrt{2}}$$

Multiply 0.38 and 2.76 to get 1.0488.

$$1.7112-\frac{1.0488}{\sqrt{2}}$$

Rationalize the denominator of \frac{1.0488}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$1.7112-\frac{1.0488\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$1.7112-\frac{1.0488\sqrt{2}}{2}$$

Divide 1.0488\sqrt{2} by 2 to get 0.5244\sqrt{2}.

$$1.7112-0.5244\sqrt{2}$$

Factor

$$\frac{4278 - 1311 \sqrt{2}}{2500} = 0.9695864078915489$$