Solve -(-9):(6-9)+sqrt{1-2(-4)}-sqrt[3]{-12+sqrt{16}}

$$- ( - 9 ) : ( 6 - 9 ) + \sqrt { 1 - 2 ( - 4 ) } - \sqrt[ 3 ] { - 12 + \sqrt { 16 } }$$

Evaluate

$$2$$

Solution Steps

The opposite of -9 is 9.

$$\frac{9}{6-9}+\sqrt{1-2\left(-4\right)}-\sqrt[3]{-12+\sqrt{16}}$$

Subtract 9 from 6 to get -3.

$$\frac{9}{-3}+\sqrt{1-2\left(-4\right)}-\sqrt[3]{-12+\sqrt{16}}$$

Divide 9 by -3 to get -3.

$$-3+\sqrt{1-2\left(-4\right)}-\sqrt[3]{-12+\sqrt{16}}$$

Multiply 2 and -4 to get -8.

$$-3+\sqrt{1-\left(-8\right)}-\sqrt[3]{-12+\sqrt{16}}$$

The opposite of -8 is 8.

$$-3+\sqrt{1+8}-\sqrt[3]{-12+\sqrt{16}}$$

Add 1 and 8 to get 9.

$$-3+\sqrt{9}-\sqrt[3]{-12+\sqrt{16}}$$

Calculate the square root of 9 and get 3.

$$-3+3-\sqrt[3]{-12+\sqrt{16}}$$

Add -3 and 3 to get 0.

$$0-\sqrt[3]{-12+\sqrt{16}}$$

Calculate the square root of 16 and get 4.

$$0-\sqrt[3]{-12+4}$$

Add -12 and 4 to get -8.

$$0-\sqrt[3]{-8}$$

Calculate \sqrt[3]{-8} and get -2.

$$0-\left(-2\right)$$

The opposite of -2 is 2.

$$0+2$$

Add 0 and 2 to get 2.

$$2$$

Factor

$$2$$