Solve 1+5*2/3*5sqrt{7}

$$\frac{ 1+5 \times 2 }{ 3 \times 5 \sqrt{ 7 } }$$

Evaluate

$$\frac{11\sqrt{7}}{105}\approx 0.277173947$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{1+10}{3\times 5\sqrt{7}}$$

Add 1 and 10 to get 11.

$$\frac{11}{3\times 5\sqrt{7}}$$

Multiply 3 and 5 to get 15.

$$\frac{11}{15\sqrt{7}}$$

Rationalize the denominator of \frac{11}{15\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$\frac{11\sqrt{7}}{15\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$\frac{11\sqrt{7}}{15\times 7}$$

Multiply 15 and 7 to get 105.

$$\frac{11\sqrt{7}}{105}$$