Simplifying the quotient of two radical expressions

The video tutorial demonstrates how to simplify a radical expression by rationalizing the denominator. It begins with simplifying the fraction 15/3 and proceeds to simplify radical expressions like sqrt 60X^5 and sqrt 12X using square numbers. The tutorial emphasizes the importance of choosing the largest square numbers for simplification. The process concludes with a final simplification, showing that rationalizing the denominator is not always necessary.

What is the first step in simplifying the given radical expression?

• Convert the expression to a decimal

• Add a constant to both the numerator and denominator

• Simplify the obvious parts of the expression first

• Multiply the numerator and denominator by the same number

Which method is preferred for simplifying each radical expression separately?

• Guess and check

• Choosing the largest square numbers

• Prime factorization

• Using a calculator

What is the largest square number that divides into 60?

• 4

• 16

• 25

• 9

How can the division of two radicals be simplified?

• By multiplying them

• By adding them together

• By rewriting them as a single radical

• By subtracting them

What is the final simplified form of the expression?

• 5X^3 * sqrt 5

• 5X^2 * sqrt 15

• 5X^2 * sqrt 3

• 5X^2 * sqrt 5