Operations with Radicals
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10 QuestionsShow answers
  • Question 1
    120 seconds
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    Q.

    Simplify  80\sqrt{80}  as much as possible.

    answer choices

     2202\sqrt{20}  

     8108\sqrt{10}  

     454\sqrt{5}  

    Cannot be simplified further

  • Question 2
    120 seconds
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    Q.

    Simplify  18x4\sqrt{18x^4}  as much as possible.

    answer choices

     x218x^2\sqrt{18}  

     32x3\sqrt{2x}  

     6x6\sqrt{x}  

     3x223x^2\sqrt{2}  

  • Question 3
    120 seconds
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    Q.

    Select all of the following radicals that are in fully simplified form.

    answer choices

    236-2\sqrt{36}

    3223\sqrt{22}

    35\sqrt{35}

    333\sqrt{3}

  • Question 4
    120 seconds
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    Q.

    Multiply:  234272\sqrt{3}\cdot4\sqrt{27}  

    answer choices

     7272  

     8308\sqrt{30}  

     6816\sqrt{81}  

     8484  

  • Question 5
    120 seconds
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    Q.

    Divide:  512153\frac{5\sqrt{12}}{15\sqrt{3}}  

    answer choices

     10015\frac{100}{15}  

     93\frac{\sqrt{9}}{3}  

     23\frac{2}{3}  

     43\frac{4}{3}  

  • Question 6
    Ungraded
    120 seconds
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    Q.

    Here's a "proof," using nothing but radicals, that  1 = 1-1\ =\ 1 :

     1 =11 = 11-1\ =\sqrt{-1}\cdot\sqrt{-1}\ =\ \sqrt{-1\cdot-1}   
     =1 = 1=\sqrt{1\ }=\ 1  

    Which step contains the mistake? Explain why. Consider the first equals sign to be the first step, the second equals sign to be the second step, and so on.

  • Question 7
    120 seconds
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    Q.

    Add:  37 228+1043\sqrt{7}\ -2\sqrt{28}+10\sqrt{4} 

    answer choices

     7+104-\sqrt{7}+10\sqrt{4}  

     911-9\sqrt{11}  

     20720-\sqrt{7}  

    Cannot simplify any further

  • Question 8
    120 seconds
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    Q.

    Add: 6242466\sqrt{24}-24\sqrt{6}  

    answer choices

     126-12\sqrt{6}  

     1818-18\sqrt{18}  

     18618\sqrt{6}  

     12612\sqrt{6}  

  • Question 9
    120 seconds
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    Q.

    Which number is larger: 3020 30\sqrt{20}\   or  158015\sqrt{80} 

    answer choices

     302030\sqrt{20}  

     158015\sqrt{80}  

    These numbers are equal

    There's no way to tell

  • Question 10
    Ungraded
    120 seconds
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    Q.

    True or false:  a2+b2=a+b\sqrt{a^2+b^2}=a+b  

    no correct answer

    False

    Not true

    Preposterous

    MY EYES!!!

    *cries in Pythagoras*

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