Solve a=sqrt{(30)^2-(16)^2}

$$a = \sqrt { ( 30 ) ^ { 2 } - ( 16 ) ^ { 2 } }$$

Solve for a

$$a=2\sqrt{161}\approx 25.377155081$$

Steps for Solving Linear Equation

Calculate 30 to the power of 2 and get 900.

$$a=\sqrt{900-16^{2}}$$

Calculate 16 to the power of 2 and get 256.

$$a=\sqrt{900-256}$$

Subtract 256 from 900 to get 644.

$$a=\sqrt{644}$$

Factor 644=2^{2}\times 161. Rewrite the square root of the product \sqrt{2^{2}\times 161} as the product of square roots \sqrt{2^{2}}\sqrt{161}. Take the square root of 2^{2}.

$$a=2\sqrt{161}$$

Assign a

$$a≔2\sqrt{161}$$