Solve sqrt{60*10*3.2-240*6.5/frac{1{2}*60}}

$$\sqrt { \frac { 60 \times 10 \times 3.2 - 240 \times 6.5 } { \frac { 1 } { 2 } \times 60 } }$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

Solution Steps

Multiply 60 and 10 to get 600.

$$\sqrt{\frac{600\times 3.2-240\times 6.5}{\frac{1}{2}\times 60}}$$

Multiply 600 and 3.2 to get 1920.

$$\sqrt{\frac{1920-240\times 6.5}{\frac{1}{2}\times 60}}$$

Multiply 240 and 6.5 to get 1560.

$$\sqrt{\frac{1920-1560}{\frac{1}{2}\times 60}}$$

Subtract 1560 from 1920 to get 360.

$$\sqrt{\frac{360}{\frac{1}{2}\times 60}}$$

Multiply \frac{1}{2} and 60 to get \frac{60}{2}.

$$\sqrt{\frac{360}{\frac{60}{2}}}$$

Divide 60 by 2 to get 30.

$$\sqrt{\frac{360}{30}}$$

Divide 360 by 30 to get 12.

$$\sqrt{12}$$

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}.

$$2\sqrt{3}$$