Solve -8sqrt[3]{2}-(-3)sqrt[3]{2}+15sqrt[3]{2}-8sqrt[3]{2}+6sqrt[3]{2}

$$- 8 \sqrt[ 3 ] { 2 } - ( - 3 ) \sqrt[ 3 ] { 2 } + 15 \sqrt[ 3 ] { 2 } - 8 \sqrt[ 3 ] { 2 } + 6 \sqrt[ 3 ] { 2 }$$

Evaluate

$$8\sqrt[3]{2}\approx 10.079368399$$

Solution Steps

The opposite of -3\sqrt[3]{2} is 3\sqrt[3]{2}.

$$-8\sqrt[3]{2}+3\sqrt[3]{2}+15\sqrt[3]{2}-8\sqrt[3]{2}+6\sqrt[3]{2}$$

Combine -8\sqrt[3]{2} and 3\sqrt[3]{2} to get -5\sqrt[3]{2}.

$$-5\sqrt[3]{2}+15\sqrt[3]{2}-8\sqrt[3]{2}+6\sqrt[3]{2}$$

Combine -5\sqrt[3]{2} and 15\sqrt[3]{2} to get 10\sqrt[3]{2}.

$$10\sqrt[3]{2}-8\sqrt[3]{2}+6\sqrt[3]{2}$$

Combine 10\sqrt[3]{2} and -8\sqrt[3]{2} to get 2\sqrt[3]{2}.

$$2\sqrt[3]{2}+6\sqrt[3]{2}$$

Combine 2\sqrt[3]{2} and 6\sqrt[3]{2} to get 8\sqrt[3]{2}.

$$8\sqrt[3]{2}$$