Final answer to the problem
Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Solve the equation r=(a+(a^2-16)^(1/2))^(1/2)(a-(a^2-16)^(1/2))^(1/2). Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n. Solve the product of difference of squares \left(a+\sqrt{a^2-16}\right)\left(a-\sqrt{a^2-16}\right). Cancel like terms a^2 and -a^2. Calculate the power \sqrt{16}.