Solve 3^2[1+4(9+(-11)+3)]+sqrt{144}

$$3 ^ { 2 } [ 1 + 4 ( 9 + ( - 11 ) + 3 ) ] + \sqrt { 144 }$$

Evaluate

$$57$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9\left(1+4\left(9-11+3\right)\right)+\sqrt{144}$$

Subtract 11 from 9 to get -2.

$$9\left(1+4\left(-2+3\right)\right)+\sqrt{144}$$

Add -2 and 3 to get 1.

$$9\left(1+4\times 1\right)+\sqrt{144}$$

Multiply 4 and 1 to get 4.

$$9\left(1+4\right)+\sqrt{144}$$

Add 1 and 4 to get 5.

$$9\times 5+\sqrt{144}$$

Multiply 9 and 5 to get 45.

$$45+\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$45+12$$

Add 45 and 12 to get 57.

$$57$$

Factor

$$3\times 19$$