Solve 6/3+5left(2+812/4+left(6+8right)sqrt{16}right)+32

$$\frac{ 6 }{ 3 } +5 \left( 2+8 \frac{ 12 }{ 4 } + \left( 6+8 \right) \sqrt{ 16 } \right) +32$$

Evaluate

$$379$$

Solution Steps

Divide 6 by 3 to get 2.

$$2+5\left(2+\frac{8\times 4+12}{4}+\left(6+8\right)\sqrt{16}\right)+32$$

Multiply 8 and 4 to get 32.

$$2+5\left(2+\frac{32+12}{4}+\left(6+8\right)\sqrt{16}\right)+32$$

Add 32 and 12 to get 44.

$$2+5\left(2+\frac{44}{4}+\left(6+8\right)\sqrt{16}\right)+32$$

Divide 44 by 4 to get 11.

$$2+5\left(2+11+\left(6+8\right)\sqrt{16}\right)+32$$

Add 2 and 11 to get 13.

$$2+5\left(13+\left(6+8\right)\sqrt{16}\right)+32$$

Add 6 and 8 to get 14.

$$2+5\left(13+14\sqrt{16}\right)+32$$

Calculate the square root of 16 and get 4.

$$2+5\left(13+14\times 4\right)+32$$

Multiply 14 and 4 to get 56.

$$2+5\left(13+56\right)+32$$

Add 13 and 56 to get 69.

$$2+5\times 69+32$$

Multiply 5 and 69 to get 345.

$$2+345+32$$

Add 2 and 345 to get 347.

$$347+32$$

Add 347 and 32 to get 379.

$$379$$

Factor

$$379$$