Solve -49-(5-18div3^2-(4^2-2left(6-11right)^2+3(sqrt{81}-sqrt{25})))

$$-49-(5-18 \div { 3 }^{ 2 } -( { 4 }^{ 2 } -2 { \left(6-11 \right) }^{ 2 } +3( \sqrt{ 81 } - \sqrt{ 25 } )))$$

Evaluate

$$-74$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-49-\left(5-\frac{18}{9}-\left(4^{2}-2\left(6-11\right)^{2}+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Divide 18 by 9 to get 2.

$$-49-\left(5-2-\left(4^{2}-2\left(6-11\right)^{2}+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Subtract 2 from 5 to get 3.

$$-49-\left(3-\left(4^{2}-2\left(6-11\right)^{2}+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Calculate 4 to the power of 2 and get 16.

$$-49-\left(3-\left(16-2\left(6-11\right)^{2}+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Subtract 11 from 6 to get -5.

$$-49-\left(3-\left(16-2\left(-5\right)^{2}+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Calculate -5 to the power of 2 and get 25.

$$-49-\left(3-\left(16-2\times 25+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Multiply 2 and 25 to get 50.

$$-49-\left(3-\left(16-50+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Subtract 50 from 16 to get -34.

$$-49-\left(3-\left(-34+3\left(\sqrt{81}-\sqrt{25}\right)\right)\right)$$

Calculate the square root of 81 and get 9.

$$-49-\left(3-\left(-34+3\left(9-\sqrt{25}\right)\right)\right)$$

Calculate the square root of 25 and get 5.

$$-49-\left(3-\left(-34+3\left(9-5\right)\right)\right)$$

Subtract 5 from 9 to get 4.

$$-49-\left(3-\left(-34+3\times 4\right)\right)$$

Multiply 3 and 4 to get 12.

$$-49-\left(3-\left(-34+12\right)\right)$$

Add -34 and 12 to get -22.

$$-49-\left(3-\left(-22\right)\right)$$

The opposite of -22 is 22.

$$-49-\left(3+22\right)$$

Add 3 and 22 to get 25.

$$-49-25$$

Subtract 25 from -49 to get -74.

$$-74$$

Factor

$$-74$$