Find the value b of a quadratic

The video tutorial explains the mathematical relationship C = (B/2)^2, demonstrating how to solve for B by taking the square root of both sides and multiplying by 2. It further illustrates how to factor the quadratic expression X^2 + (8/3)X + (16/9) into (X + 4/3)^2.

What is the significance of taking the square root of both sides in the equation?

Explain the process of factoring the equation mentioned in the text.