Solve frac{72*x^0-4sqrt{3}+12sqrt{2}}{6}

$$\frac{ 72 \times { x }^{ 0 } -4 \sqrt{ 3 } +12 \sqrt{ 2 } }{ 6 }$$

Evaluate

$$-\frac{2\sqrt{3}}{3}+2\sqrt{2}+12\approx 13.673726586$$

Solution Steps

Calculate x to the power of 0 and get 1.

$$\frac{72\times 1-4\sqrt{3}+12\sqrt{2}}{6}$$

Multiply 72 and 1 to get 72.

$$\frac{72-4\sqrt{3}+12\sqrt{2}}{6}$$

Factor

$$\frac{2 {(3 \sqrt{2} + 18 - \sqrt{3})}}{3} = 13.673726586366937$$

Solution Steps

Consider 72x^{0}-4\times 3^{\frac{1}{2}}+12\times 2^{\frac{1}{2}}. Factor out 4.

$$4\left(18x^{0}-\sqrt{3}+3\sqrt{2}\right)$$

Rewrite the complete factored expression. Simplify.

$$\frac{2\left(18-\sqrt{3}+3\sqrt{2}\right)}{3}$$