Solve 2*(-3)+(-1)^2+sqrt{8}

$$2 \times ( - 3 ) + ( - 1 ) ^ { 2 } + \sqrt { 8 }$$

Evaluate

$$2\sqrt{2}-5\approx -2.171572875$$

Solution Steps

Multiply 2 and -3 to get -6.

$$-6+\left(-1\right)^{2}+\sqrt{8}$$

Calculate -1 to the power of 2 and get 1.

$$-6+1+\sqrt{8}$$

Add -6 and 1 to get -5.

$$-5+\sqrt{8}$$

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}.

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