Solve A_{s}=9/2-frac{27-3sqrt{88}}{2}

$$A _ { s } = \frac { 9 } { 2 } - \frac { 27 - 3 \sqrt { 88 } } { 2 }$$

Solve for A_s

$$A_{s}=3\left(\sqrt{22}-3\right)\approx 5.071247279$$

Steps for Solving Linear Equation

Factor 88=2^{2}\times 22. Rewrite the square root of the product \sqrt{2^{2}\times 22} as the product of square roots \sqrt{2^{2}}\sqrt{22}. Take the square root of 2^{2}.

$$A_{s}=\frac{9}{2}-\frac{27-3\times 2\sqrt{22}}{2}$$

Multiply -3 and 2 to get -6.

$$A_{s}=\frac{9}{2}-\frac{27-6\sqrt{22}}{2}$$

Since \frac{9}{2} and \frac{27-6\sqrt{22}}{2} have the same denominator, add them by adding their numerators.

$$A_{s}=\frac{9+27-6\sqrt{22}}{2}$$

Do the calculations in 9+27-6\sqrt{22}.

$$A_{s}=\frac{36-6\sqrt{22}}{2}$$

Divide each term of 36-6\sqrt{22} by 2 to get 18-3\sqrt{22}.

$$A_{s}=18-3\sqrt{22}$$

Assign A_s

$$A_{s}≔3\left(\sqrt{22}-3\right)$$