Solve frac{3(77.07-sqrt[3]{85})}{(6.2-1.789)^3+8}

$$\frac { 3 ( 77.07 - \sqrt[ 3 ] { 85 } ) } { ( 6.2 - 1.789 ) ^ { 3 } + 8 }$$

Evaluate

$$-\frac{1000000000\sqrt[3]{85}}{31274826177}+\frac{3670000000}{1489277437}\approx 2.323695419$$

Solution Steps

Subtract 1.789 from 6.2 to get 4.411.

$$\frac{3\left(77.07-\sqrt[3]{85}\right)}{4.411^{3}+8}$$

Calculate 4.411 to the power of 3 and get 85.824478531.

$$\frac{3\left(77.07-\sqrt[3]{85}\right)}{85.824478531+8}$$

Add 85.824478531 and 8 to get 93.824478531.

$$\frac{3\left(77.07-\sqrt[3]{85}\right)}{93.824478531}$$

Divide 3\left(77.07-\sqrt[3]{85}\right) by 93.824478531 to get \frac{1000000000}{31274826177}\left(77.07-\sqrt[3]{85}\right).

$$\frac{1000000000}{31274826177}\left(77.07-\sqrt[3]{85}\right)$$

Use the distributive property to multiply \frac{1000000000}{31274826177} by 77.07-\sqrt[3]{85}.

$$\frac{3670000000}{1489277437}-\frac{1000000000}{31274826177}\sqrt[3]{85}$$