Simplify a radical expression by multiplying by square root of five on top and bottom

The video tutorial explains the process of rationalizing a denominator that contains an irrational number, specifically the square root of 5. It begins by discussing the problem of having an irrational number in the denominator and the need to eliminate it. The tutorial then explores the concept of square roots and square numbers, emphasizing that only square numbers can have their square roots taken easily. The main focus is on multiplying the numerator and denominator by the square root of 5 to rationalize the denominator, resulting in a simplified expression. The video concludes with a final simplified answer.

What is the purpose of multiplying by 'i' in the context of simplifying expressions?

Why do we want to avoid having a square root in the denominator?

How can you make the number 5 a square number?

What is the result of multiplying by sqrt(5) in both the numerator and denominator?

What is the final simplified form of the expression after rationalizing the denominator?