Solve 70*35-40/35*sqrt{3}

$$\frac{ 70 \times 35-40 }{ 35 \times \sqrt{ 3 } }$$

Evaluate

$$\frac{482\sqrt{3}}{21}\approx 39.754689964$$

Solution Steps

Multiply 70 and 35 to get 2450.

$$\frac{2450-40}{35\sqrt{3}}$$

Subtract 40 from 2450 to get 2410.

$$\frac{2410}{35\sqrt{3}}$$

Rationalize the denominator of \frac{2410}{35\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2410\sqrt{3}}{35\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{2410\sqrt{3}}{35\times 3}$$

Cancel out 5 in both numerator and denominator.

$$\frac{482\sqrt{3}}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{482\sqrt{3}}{21}$$