Solve frac{sqrt{81}}{-sqrt{9}}-sqrt{36}left(sqrt{169}-sqrt{49}right)

$$\frac{ \sqrt{ 81 } }{ - \sqrt{ 9 } } - \sqrt{ 36 } \left( \sqrt{ 169 } - \sqrt{ 49 } \right)$$

Evaluate

$$-39$$

Solution Steps

Calculate the square root of 81 and get 9.

$$\frac{9}{-\sqrt{9}}-\sqrt{36}\left(\sqrt{169}-\sqrt{49}\right)$$

Calculate the square root of 9 and get 3.

$$\frac{9}{-3}-\sqrt{36}\left(\sqrt{169}-\sqrt{49}\right)$$

Divide 9 by -3 to get -3.

$$-3-\sqrt{36}\left(\sqrt{169}-\sqrt{49}\right)$$

Calculate the square root of 36 and get 6.

$$-3-6\left(\sqrt{169}-\sqrt{49}\right)$$

Calculate the square root of 169 and get 13.

$$-3-6\left(13-\sqrt{49}\right)$$

Calculate the square root of 49 and get 7.

$$-3-6\left(13-7\right)$$

Subtract 7 from 13 to get 6.

$$-3-6\times 6$$

Multiply 6 and 6 to get 36.

$$-3-36$$

Subtract 36 from -3 to get -39.

$$-39$$

Factor

$$-39$$