Solve (1/3)^-1+(sqrt{5}-2)^0+sqrt{13}-(-2)^2-sqrt{2}=

$$( \frac { 1 } { 3 } ) ^ { - 1 } + ( \sqrt { 5 } - 2 ) ^ { 0 } + \sqrt { 13 } - ( - 2 ) ^ { 2 } - \sqrt { 2 } =$$

Evaluate

$$\sqrt{13}-\sqrt{2}\approx 2.191337713$$

Solution Steps

Calculate \frac{1}{3} to the power of -1 and get 3.

$$3+\left(\sqrt{5}-2\right)^{0}+\sqrt{13}-\left(-2\right)^{2}-\sqrt{2}$$

Calculate \sqrt{5}-2 to the power of 0 and get 1.

$$3+1+\sqrt{13}-\left(-2\right)^{2}-\sqrt{2}$$

Add 3 and 1 to get 4.

$$4+\sqrt{13}-\left(-2\right)^{2}-\sqrt{2}$$

Calculate -2 to the power of 2 and get 4.

$$4+\sqrt{13}-4-\sqrt{2}$$

Subtract 4 from 4 to get 0.

$$\sqrt{13}-\sqrt{2}$$