Solve sqrt{12-4+1}+5(4^3-1)+(7^3+7):5

$$\sqrt { 12 - 4 + 1 } + 5 ( 4 ^ { 3 } - 1 ) + ( 7 ^ { 3 } + 7 ) : 5$$

Evaluate

$$388$$

Solution Steps

Subtract 4 from 12 to get 8.

$$\sqrt{8+1}+5\left(4^{3}-1\right)+\frac{7^{3}+7}{5}$$

Add 8 and 1 to get 9.

$$\sqrt{9}+5\left(4^{3}-1\right)+\frac{7^{3}+7}{5}$$

Calculate the square root of 9 and get 3.

$$3+5\left(4^{3}-1\right)+\frac{7^{3}+7}{5}$$

Calculate 4 to the power of 3 and get 64.

$$3+5\left(64-1\right)+\frac{7^{3}+7}{5}$$

Subtract 1 from 64 to get 63.

$$3+5\times 63+\frac{7^{3}+7}{5}$$

Multiply 5 and 63 to get 315.

$$3+315+\frac{7^{3}+7}{5}$$

Add 3 and 315 to get 318.

$$318+\frac{7^{3}+7}{5}$$

Calculate 7 to the power of 3 and get 343.

$$318+\frac{343+7}{5}$$

Add 343 and 7 to get 350.

$$318+\frac{350}{5}$$

Divide 350 by 5 to get 70.

$$318+70$$

Add 318 and 70 to get 388.

$$388$$

Factor

$$2^{2}\times 97$$