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Adding and Subtracting Radicals

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  • Simplify: -√2 ⋅ 5√20
    -10√10
  • Can this radical expression be simplified using addition/subtraction?
    Nope!
  • 1
  • Simplify
    3
  • Simplify √200
    10√2
  • Simplify: 3√6 - 4√6
    -√6
  • Can this radical expression be simplified using addition/subtraction?
    Nope!
  • irrational
  • Can this radical expression be simplified using multiplication/division?
    Yes, the answer is 2
  • What is the simplified difference of this radical expression?
    10rad(10)
  • 1
  • Simplify: - 2√45 - 3√20 - 2√6
    - 12√5 - 2√6
  • Simplify: √10 ⋅ √45
    15√2
  • Can this radical expression be simplified using addition/subtraction?
    No, because the radicands are different.
  • Find the product or quotient in radical form (NO DECIAMLS). Then determine if it is rational or irrational.
    6√35 , irrational
  • Simplify √72
    6√2
  • Simplify: - 3√12 + 3√3 - 3√20
    - 3√3 + 6√5
  • Simplify. Reduce if necessary.
    √2
  • Simplify: √9/25
    3/25
  • Find the product or quotient in radical form (NO DECIAMLS). Then determine if it is rational or irrational.
    12, rational
  • Find the product or quotient in radical form (NO DECIAMLS). Then determine if it is rational or irrational.
    2, rational
  • - 3√5 + 4√5
    7√5
  • Rationalize the denominator. If possible, simplify by reducing the resulting fraction.
    7√6 / 6
  • 1
  • What is the simplified sum of this radical expression?
    15rad(23)
  • Simplify: 3√2 ⋅ 5√4
    30√2
  • 3
  • Can this radical expression be simplified using addition/subtraction?
    Yes! This one was tricky, let's talk about why...
  • Can this radical expression be simplified using addition/subtraction?
    Yes!
  • Simplify 5√12
    10√3
  • Simplify: √4/√36
    1/3
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