Solve 2sqrt{2}+5sqrt{2}-2^3sqrt{2}+3sqrt{2}

$$2 \sqrt{ 2 } +5 \sqrt{ 2 } - { 2 }^{ 3 } \sqrt{ 2 } +3 \sqrt{ 2 }$$

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

Solution Steps

Combine 2\sqrt{2} and 5\sqrt{2} to get 7\sqrt{2}.

$$7\sqrt{2}-2^{3}\sqrt{2}+3\sqrt{2}$$

Calculate 2 to the power of 3 and get 8.

$$7\sqrt{2}-8\sqrt{2}+3\sqrt{2}$$

Combine 7\sqrt{2} and -8\sqrt{2} to get -\sqrt{2}.

$$-\sqrt{2}+3\sqrt{2}$$

Combine -\sqrt{2} and 3\sqrt{2} to get 2\sqrt{2}.

$$2\sqrt{2}$$