Solve A=3sqrt{11}+5sqrt{44}-3sqrt{99}

$$A = 3 \sqrt{ 11 } +5 \sqrt{ 44 } -3 \sqrt{ 99 }$$

Solve for A

$$A=4\sqrt{11}\approx 13.266499161$$

Steps for Solving Linear Equation

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$A=3\sqrt{11}+5\times 2\sqrt{11}-3\sqrt{99}$$

Multiply 5 and 2 to get 10.

$$A=3\sqrt{11}+10\sqrt{11}-3\sqrt{99}$$

Combine 3\sqrt{11} and 10\sqrt{11} to get 13\sqrt{11}.

$$A=13\sqrt{11}-3\sqrt{99}$$

Factor 99=3^{2}\times 11. Rewrite the square root of the product \sqrt{3^{2}\times 11} as the product of square roots \sqrt{3^{2}}\sqrt{11}. Take the square root of 3^{2}.

$$A=13\sqrt{11}-3\times 3\sqrt{11}$$

Multiply -3 and 3 to get -9.

$$A=13\sqrt{11}-9\sqrt{11}$$

Combine 13\sqrt{11} and -9\sqrt{11} to get 4\sqrt{11}.

$$A=4\sqrt{11}$$

Assign A

$$A≔4\sqrt{11}$$