Solve sqrt{12}+585*5/23

$$\sqrt{ 12 } +58 \frac{ 5 \times 5 }{ 23 }$$

Evaluate

$$2\sqrt{3}+\frac{1450}{23}\approx 66.507579876$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$2\sqrt{3}+58\times \frac{5\times 5}{23}$$

Multiply 5 and 5 to get 25.

$$2\sqrt{3}+58\times \frac{25}{23}$$

Express 58\times \frac{25}{23} as a single fraction.

$$2\sqrt{3}+\frac{58\times 25}{23}$$

Multiply 58 and 25 to get 1450.

$$2\sqrt{3}+\frac{1450}{23}$$

Factor

$$\frac{2 {(23 \sqrt{3} + 725)}}{23} = 66.50757987600733$$