Solve y=sqrt{98}-sqrt{32}-sqrt{8}

$$y = \sqrt { 98 } - \sqrt { 32 } - \sqrt { 8 }$$

Solve for y

$$y=\sqrt{2}\approx 1.414213562$$

Steps for Solving Linear Equation

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$y=7\sqrt{2}-\sqrt{32}-\sqrt{8}$$

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$y=7\sqrt{2}-4\sqrt{2}-\sqrt{8}$$

Combine 7\sqrt{2} and -4\sqrt{2} to get 3\sqrt{2}.

$$y=3\sqrt{2}-\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$y=3\sqrt{2}-2\sqrt{2}$$

Combine 3\sqrt{2} and -2\sqrt{2} to get \sqrt{2}.

$$y=\sqrt{2}$$

Assign y

$$y≔\sqrt{2}$$