How do you simplify the root of rational terms with variables

The video tutorial explains how to simplify a mathematical expression involving square roots and exponents. It begins with an introduction to the problem, followed by the application of the product rule for radicals. The tutorial then demonstrates how to use the quotient rule to further simplify the expression. A detailed breakdown of the problem is provided, leading to the final simplification steps. The tutorial emphasizes understanding the process of breaking down complex expressions into simpler components.

What is the initial expression that needs to be simplified in the problem?

• sqrt(36/25^2) * r^2 * t

• sqrt(36/25) * r^2 * t

• sqrt(25/36) * r^2 * t

• sqrt(25^2/36) * r^2 * t

Which rule is applied first to simplify the expression?

• Sum rule of radicals

• Quotient rule of radicals

• Product rule of radicals

• Power rule of exponents

How is the expression rewritten using the product rule?

• As sqrt(25/36) * sqrt(r^2) * sqrt(t)

• As sqrt(25) * sqrt(36) * r^2 * t

• As sqrt(25) * sqrt(36) * sqrt(r^2) * sqrt(t)

• As sqrt(25/36) * r^2 * t

What is the square root of 25?

• 7

• 6

• 4

• 5

What is the final simplified form of the expression?

• 5/6 * r^2 * t

• 5/6 * r * sqrt(t)

• 5/6 * sqrt(r) * t

• 5/6 * r * t