Solve [8+3(9*4-sqrt[3]{216}*8)]-[2(3*5^2-350divsqrt{196})]

$$[ 8 + 3 ( 9 \times 4 - \sqrt[ 3 ] { 216 } \times 8 ) ] - [ 2 ( 3 \times 5 ^ { 2 } - 350 \div \sqrt { 196 } ) ]$$

Evaluate

$$-128$$

Solution Steps

Multiply 9 and 4 to get 36.

$$8+3\left(36-\sqrt[3]{216}\times 8\right)-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Calculate \sqrt[3]{216} and get 6.

$$8+3\left(36-6\times 8\right)-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Multiply 6 and 8 to get 48.

$$8+3\left(36-48\right)-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Subtract 48 from 36 to get -12.

$$8+3\left(-12\right)-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Multiply 3 and -12 to get -36.

$$8-36-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Subtract 36 from 8 to get -28.

$$-28-2\left(3\times 5^{2}-\frac{350}{\sqrt{196}}\right)$$

Calculate 5 to the power of 2 and get 25.

$$-28-2\left(3\times 25-\frac{350}{\sqrt{196}}\right)$$

Multiply 3 and 25 to get 75.

$$-28-2\left(75-\frac{350}{\sqrt{196}}\right)$$

Calculate the square root of 196 and get 14.

$$-28-2\left(75-\frac{350}{14}\right)$$

Divide 350 by 14 to get 25.

$$-28-2\left(75-25\right)$$

Subtract 25 from 75 to get 50.

$$-28-2\times 50$$

Multiply 2 and 50 to get 100.

$$-28-100$$

Subtract 100 from -28 to get -128.

$$-128$$

Factor

$$-128$$