Solve y=sqrt{9^2-7^2}

$$y = \sqrt { 9 ^ { 2 } - 7 ^ { 2 } }$$

Solve for y

$$y=4\sqrt{2}\approx 5.656854249$$

Steps for Solving Linear Equation

Calculate 9 to the power of 2 and get 81.

$$y=\sqrt{81-7^{2}}$$

Calculate 7 to the power of 2 and get 49.

$$y=\sqrt{81-49}$$

Subtract 49 from 81 to get 32.

$$y=\sqrt{32}$$

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}.

$$y=4\sqrt{2}$$

Assign y

$$y≔4\sqrt{2}$$