Solve x=sqrt{48}+sqrt{43}-sqrt{200}

$$x = \sqrt { 48 } + \sqrt { 43 } - \sqrt { 200 }$$

Solve for x

$$x=\sqrt{43}+4\sqrt{3}-10\sqrt{2}\approx -0.656493869$$

Steps for Solving Linear Equation

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$x=4\sqrt{3}+\sqrt{43}-\sqrt{200}$$

Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.

$$x=4\sqrt{3}+\sqrt{43}-10\sqrt{2}$$

Assign x

$$x≔\sqrt{43}+4\sqrt{3}-10\sqrt{2}$$