Simplifying Radical Expressions and Comparisons

The video tutorial explains how to order values in ascending order, focusing on numbers in simplest radical form. It introduces the concept of simplest radical form, demonstrates how to simplify square roots, and compares radical values to determine their order. The tutorial concludes with a summary of the ordering process.

What does ascending order mean?

• Alphabetical order

• From least to greatest

• Random order

• From greatest to least

What is the simplest radical form?

• A form where the number is expressed as a fraction

• A form where the number is expressed as a whole number

• A form where the number is expressed with the smallest possible radical

• A form where the number is expressed as a decimal

Why is 18 not a perfect square?

• Because it is less than 20

• Because it is a prime number

• Because it cannot be expressed as a product of two identical integers

• Because it is an even number

What is the simplest radical form of the square root of 18?

• 2 times the square root of 9

• 5 times the square root of 0.5

• 3 times the square root of 2

• 4 times the square root of 1

How do you reconstruct the original number from its simplest radical form?

• Multiply the number outside the radical by itself and then multiply by the number inside the radical

• Add the number outside the radical to the number inside the radical

• Subtract the number inside the radical from the number outside the radical

• Divide the number outside the radical by the number inside the radical

What is the first step in applying the strategy to order values?

• Multiply all the values by 2

• Convert each value to its simplest radical form

• Add all the values together

• Divide all the values by 2

What is the simplest radical form of 6 times the square root of 2?

• The square root of 36

• The square root of 18

• The square root of 12

• The square root of 72

Which value is the smallest when comparing the converted values?

• The square root of 45

• The square root of 40

• The square root of 72

• The square root of 64

What is the largest value in the ordered list?

• The square root of 40

• The square root of 72

• The square root of 45

• The square root of 64

What is the purpose of converting values to the same form?

• To make them easier to add

• To make them easier to subtract

• To make them easier to compare

• To make them easier to multiply