Solve (3/93sqrt{9}a)(2/163sqrt{16}x)

$$( 3 / 93 \sqrt { 9 } a ) ( 2 / 163 \sqrt { 16 } x )$$

Evaluate

$$\frac{24ax}{5053}$$

Solution Steps

Reduce the fraction \frac{3}{93} to lowest terms by extracting and canceling out 3.

$$\frac{1}{31}\sqrt{9}a\times \frac{2}{163}\sqrt{16}x$$

Calculate the square root of 9 and get 3.

$$\frac{1}{31}\times 3a\times \frac{2}{163}\sqrt{16}x$$

Multiply \frac{1}{31} and 3 to get \frac{3}{31}.

$$\frac{3}{31}a\times \frac{2}{163}\sqrt{16}x$$

Multiply \frac{3}{31} times \frac{2}{163} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{31\times 163}a\sqrt{16}x$$

Do the multiplications in the fraction \frac{3\times 2}{31\times 163}.

$$\frac{6}{5053}a\sqrt{16}x$$

Calculate the square root of 16 and get 4.

$$\frac{6}{5053}a\times 4x$$

Express \frac{6}{5053}\times 4 as a single fraction.

$$\frac{6\times 4}{5053}ax$$

Multiply 6 and 4 to get 24.

$$\frac{24}{5053}ax$$

Differentiate w.r.t. x

$$\frac{24a}{5053}$$