Solve sqrt{5808/48}text{an}4174/8

$$\sqrt { \frac { 5808 } { 48 } } \text { an } 417 \frac { 4 } { 8 }$$

Evaluate

$$\frac{9185an}{2}$$

Solution Steps

Divide 5808 by 48 to get 121.

$$\sqrt{121}an\times \frac{417\times 8+4}{8}$$

Calculate the square root of 121 and get 11.

$$11an\times \frac{417\times 8+4}{8}$$

Multiply 417 and 8 to get 3336.

$$11an\times \frac{3336+4}{8}$$

Add 3336 and 4 to get 3340.

$$11an\times \frac{3340}{8}$$

Reduce the fraction \frac{3340}{8} to lowest terms by extracting and canceling out 4.

$$11an\times \frac{835}{2}$$

Express 11\times \frac{835}{2} as a single fraction.

$$\frac{11\times 835}{2}an$$

Multiply 11 and 835 to get 9185.

$$\frac{9185}{2}an$$

Differentiate w.r.t. a

$$\frac{9185n}{2}$$