Solve A=5sqrt[4]{64}-3sqrt{72}+84/88

$$A = 5 \sqrt[ 4 ] { 64 } - 3 \sqrt { 72 } + 8 \frac { 4 } { 8 } 8$$

Solve for A

$$A=68-8\sqrt{2}\approx 56.686291501$$

Steps for Solving Linear Equation

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$A=5\sqrt[4]{64}-3\times 6\sqrt{2}+\frac{8\times 8+4}{8}\times 8$$

Multiply -3 and 6 to get -18.

$$A=5\sqrt[4]{64}-18\sqrt{2}+\frac{8\times 8+4}{8}\times 8$$

Multiply 8 and 8 to get 64.

$$A=5\sqrt[4]{64}-18\sqrt{2}+\frac{64+4}{8}\times 8$$

Add 64 and 4 to get 68.

$$A=5\sqrt[4]{64}-18\sqrt{2}+\frac{68}{8}\times 8$$

Reduce the fraction \frac{68}{8} to lowest terms by extracting and canceling out 4.

$$A=5\sqrt[4]{64}-18\sqrt{2}+\frac{17}{2}\times 8$$

Multiply \frac{17}{2} and 8 to get 68.

$$A=5\sqrt[4]{64}-18\sqrt{2}+68$$

Assign A

$$A≔68-8\sqrt{2}$$