Solve a=sqrt{14^2-10^2}

$$a = \sqrt { 14 ^ { 2 } - 10 ^ { 2 } }$$

Solve for a

$$a=4\sqrt{6}\approx 9.797958971$$

Steps for Solving Linear Equation

Calculate 14 to the power of 2 and get 196.

$$a=\sqrt{196-10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$a=\sqrt{196-100}$$

Subtract 100 from 196 to get 96.

$$a=\sqrt{96}$$

Factor 96=4^{2}\times 6. Rewrite the square root of the product \sqrt{4^{2}\times 6} as the product of square roots \sqrt{4^{2}}\sqrt{6}. Take the square root of 4^{2}.

$$a=4\sqrt{6}$$

Assign a

$$a≔4\sqrt{6}$$