Solve 70*3.5-40/3.5*sqrt{3}

$$\frac{ 70 \times 3.5-40 }{ 3.5 \times \sqrt{ 3 } }$$

Evaluate

$$\frac{410\sqrt{3}}{21}\approx 33.816230053$$

Solution Steps

Multiply 70 and 3.5 to get 245.

$$\frac{245-40}{3.5\sqrt{3}}$$

Subtract 40 from 245 to get 205.

$$\frac{205}{3.5\sqrt{3}}$$

Rationalize the denominator of \frac{205}{3.5\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{205\sqrt{3}}{3.5\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{205\sqrt{3}}{3.5\times 3}$$

Multiply 3.5 and 3 to get 10.5.

$$\frac{205\sqrt{3}}{10.5}$$

Divide 205\sqrt{3} by 10.5 to get \frac{410}{21}\sqrt{3}.

$$\frac{410}{21}\sqrt{3}$$