Simplified Square Roots Challenge

This video tutorial covers the process of simplifying radicals, including identifying perfect squares that divide into a radicand and breaking it into two radicals. It provides examples of simplifying radicals and explains the importance of using the largest perfect square for efficiency. The video also discusses rationalizing the denominator, ensuring no radicals remain in the denominator, and provides examples to illustrate these concepts.

What is the first step in simplifying a radical?

• Dividing by 2

• Finding the smallest factor

• Finding the largest perfect square factor

• Multiplying by 1

Which of the following is a perfect square?

• 10

• 9

• 8

• 6

How do you break a radicand into two radicals?

• By multiplying the radicands

• By subtracting the radicands

• By adding the radicands

• By dividing the radicands

What is the simplified form of the square root of 8?

• √4

• 4√2

• 8√2

• 2√2

If you don't find the largest perfect square, what should you do?

• Start over

• Use a calculator

• Multiply by 2

• Continue simplifying

What is the rule about radicals in the denominator?

• They should be rationalized

• They should be left as is

• They should be divided by 2

• They should be multiplied by 2

How do you handle a negative sign in the denominator?

• Multiply by -1

• It makes the whole number negative

• Move it to the numerator

• Ignore it

What happens when you multiply a radical by itself?

• It undoes the radical

• It squares the number

• It becomes zero

• It doubles

What should you multiply by to rationalize the denominator?

• The smallest factor

• The numerator

• The same radical

• The whole fraction

What is the simplified form of 5√18 / 6?

• 5√18 / 3

• 5√3 / 3

• 5√9 / 6

• 5√2 / 2