Simplifying Positive and Negative Radicals

Simplify the expression:

• 1
• 9 - 4√4
• 6 + 2√2
• 1 - 4√2

How do you rewrite roots of roots as one radical (like the expression shown here)?

• it cannot be simplified as one radical

Which mathematical tool is helpful for simplifying radical expressions?

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√243

• 3√3

• 9√3

• 81√3

• 3√81

Simplify √60

• 2√15

• 12

• 4√15

• 3√5

√200

• 10√2

• 2√10

• 50√2

• 2√50

√125

• 5√5

• 25√5

• 5√25

• 5√2

Simplify the following radical: √300

• 3√10

• 2√150

• 100√3

• 10√3

Fully simplify....

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Simplify the following radical: 2√24

• 4√6

• 2√6

• 24√2

• 4√4