Solve (+5-11+3)sqrt{8}+4-8+6)=

$$( + 5 - 11 + 3 ) \sqrt { 8 } + 4 - 8 + 6 ) =$$

Evaluate

$$2-6\sqrt{2}\approx -6.485281374$$

Solution Steps

Subtract 11 from 5 to get -6.

$$\left(-6+3\right)\sqrt{8}+4-8+6$$

Add -6 and 3 to get -3.

$$-3\sqrt{8}+4-8+6$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$-3\times 2\sqrt{2}+4-8+6$$

Multiply -3 and 2 to get -6.

$$-6\sqrt{2}+4-8+6$$

Subtract 8 from 4 to get -4.

$$-6\sqrt{2}-4+6$$

Add -4 and 6 to get 2.

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