Solve frac{-6sqrt{81}+5sqrt{1}}{sqrt{16}-sqrt{64}}

$$\frac { - 6 \sqrt { 81 } + 5 \sqrt { 1 } } { \sqrt { 16 } - \sqrt { 64 } }$$

Evaluate

$$\frac{49}{4}=12.25$$

Solution Steps

Calculate the square root of 81 and get 9.

$$\frac{-6\times 9+5\sqrt{1}}{\sqrt{16}-\sqrt{64}}$$

Multiply -6 and 9 to get -54.

$$\frac{-54+5\sqrt{1}}{\sqrt{16}-\sqrt{64}}$$

Calculate the square root of 1 and get 1.

$$\frac{-54+5\times 1}{\sqrt{16}-\sqrt{64}}$$

Multiply 5 and 1 to get 5.

$$\frac{-54+5}{\sqrt{16}-\sqrt{64}}$$

Add -54 and 5 to get -49.

$$\frac{-49}{\sqrt{16}-\sqrt{64}}$$

Calculate the square root of 16 and get 4.

$$\frac{-49}{4-\sqrt{64}}$$

Calculate the square root of 64 and get 8.

$$\frac{-49}{4-8}$$

Subtract 8 from 4 to get -4.

$$\frac{-49}{-4}$$

Fraction \frac{-49}{-4} can be simplified to \frac{49}{4} by removing the negative sign from both the numerator and the denominator.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$