How to evaluate a radical of a perfect square rational number ex 6, root(1/25)

The video tutorial explains how to solve the problem of finding the square root of 120 divided by 5. It introduces a key rule for handling square roots of rational numbers, which allows the problem to be broken down into simpler parts. The tutorial then applies this rule to solve the problem step-by-step, ultimately arriving at the solution of 1/5. The video concludes by summarizing the process and reinforcing the understanding of evaluating perfect square rational numbers.

What is a common reaction students have when they see a problem involving the square root of a fraction?

• They think it's a multiplication problem.

• They immediately know the answer.

• They often zone out and feel unsure.

• They feel excited to solve it.

What is the important rule for finding the square root of a rational number?

• Multiply the numerator and denominator.

• Add the numerator and denominator.

• Rewrite it as the square root of the numerator divided by the square root of the denominator.

• Subtract the numerator from the denominator.

How can the square root of 1/25 be rewritten using the rule explained?

• As sqrt(1) / sqrt(25)

• As sqrt(1) + sqrt(25)

• As sqrt(1) * sqrt(25)

• As sqrt(1) - sqrt(25)

What is the square root of 1?

• 10

• 5

• 1

• 0

What is the final answer when you evaluate sqrt(1/25)?

• 5

• 1/25

• 1/5

• 25