Solve a=sqrt{300^2-70^2}

$$a = \sqrt { 300 ^ { 2 } - 70 ^ { 2 } }$$

Solve for a

$$a=10\sqrt{851}\approx 291.719042916$$

Steps for Solving Linear Equation

Calculate 300 to the power of 2 and get 90000.

$$a=\sqrt{90000-70^{2}}$$

Calculate 70 to the power of 2 and get 4900.

$$a=\sqrt{90000-4900}$$

Subtract 4900 from 90000 to get 85100.

$$a=\sqrt{85100}$$

Factor 85100=10^{2}\times 851. Rewrite the square root of the product \sqrt{10^{2}\times 851} as the product of square roots \sqrt{10^{2}}\sqrt{851}. Take the square root of 10^{2}.

$$a=10\sqrt{851}$$

Assign a

$$a≔10\sqrt{851}$$