Solve 46sqrt{2}+sqrt{2}(8sqrt{2}-5sqrt{2})

$$46 \sqrt { 2 } + \sqrt { 2 } ( 8 \sqrt { 2 } - 5 \sqrt { 2 } )$$

Evaluate

$$46\sqrt{2}+6\approx 71.053823869$$

Solution Steps

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

$$46\sqrt{2}+\sqrt{2}\times 3\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$46\sqrt{2}+2\times 3$$

Multiply 2 and 3 to get 6.

$$46\sqrt{2}+6$$

Factor

$$2 {(23 \sqrt{2} + 3)} = 71.053823869$$