Solve [frac{12-sqrt{30-5}}{7}]-2(-3+2)^2

$$[ \frac { 12 - \sqrt { 30 - 5 } } { 7 } ] - 2 ( - 3 + 2 ) ^ { 2 }$$

Evaluate

$$-1$$

Solution Steps

Subtract 5 from 30 to get 25.

$$\frac{12-\sqrt{25}}{7}-2\left(-3+2\right)^{2}$$

Calculate the square root of 25 and get 5.

$$\frac{12-5}{7}-2\left(-3+2\right)^{2}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{7}-2\left(-3+2\right)^{2}$$

Divide 7 by 7 to get 1.

$$1-2\left(-3+2\right)^{2}$$

Add -3 and 2 to get -1.

$$1-2\left(-1\right)^{2}$$

Calculate -1 to the power of 2 and get 1.

$$1-2\times 1$$

Multiply 2 and 1 to get 2.

$$1-2$$

Subtract 2 from 1 to get -1.

$$-1$$

Factor

$$-1$$