Solve sqrt{60*10*32-240*65/frac{1{2}*60}}

$$\sqrt { \frac { 60 \times 10 \times 32 - 240 \times 65 } { \frac { 1 } { 2 } \times 60 } }$$

Evaluate

$$2\sqrt{30}\approx 10.95445115$$

Solution Steps

Multiply 60 and 10 to get 600.

$$\sqrt{\frac{600\times 32-240\times 65}{\frac{1}{2}\times 60}}$$

Multiply 600 and 32 to get 19200.

$$\sqrt{\frac{19200-240\times 65}{\frac{1}{2}\times 60}}$$

Multiply 240 and 65 to get 15600.

$$\sqrt{\frac{19200-15600}{\frac{1}{2}\times 60}}$$

Subtract 15600 from 19200 to get 3600.

$$\sqrt{\frac{3600}{\frac{1}{2}\times 60}}$$

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

$$\sqrt{\frac{3600}{\frac{60}{2}}}$$

Divide 60 by 2 to get 30.

$$\sqrt{\frac{3600}{30}}$$

Divide 3600 by 30 to get 120.

$$\sqrt{120}$$

Factor 120=2^{2}\times 30. Rewrite the square root of the product \sqrt{2^{2}\times 30} as the product of square roots \sqrt{2^{2}}\sqrt{30}. Take the square root of 2^{2}.

$$2\sqrt{30}$$