Solve frac{sqrt{196}}{14}*17/sqrt{289}*78/sqrt{169}

$$\frac { \sqrt { 196 } } { 14 } \times \frac { 17 } { \sqrt { 289 } } \times \frac { 78 } { \sqrt { 169 } }$$

Evaluate

$$6$$

Solution Steps

Calculate the square root of 196 and get 14.

$$\frac{14}{14}\times \frac{17}{\sqrt{289}}\times \frac{78}{\sqrt{169}}$$

Divide 14 by 14 to get 1.

$$1\times \frac{17}{\sqrt{289}}\times \frac{78}{\sqrt{169}}$$

Calculate the square root of 289 and get 17.

$$1\times \frac{17}{17}\times \frac{78}{\sqrt{169}}$$

Divide 17 by 17 to get 1.

$$1\times 1\times \frac{78}{\sqrt{169}}$$

Multiply 1 and 1 to get 1.

$$\frac{78}{\sqrt{169}}$$

Calculate the square root of 169 and get 13.

$$\frac{78}{13}$$

Divide 78 by 13 to get 6.

$$6$$

Factor

$$2\times 3$$