Rationalizing Denominators
an hour ago
pskaarup_09769
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15 QuestionsShow answers
  • Question 1
    300 seconds
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    Q.

    Rationalize the denominator:
     523\frac{\sqrt{5}}{2\sqrt{3}}  

    answer choices

     156\frac{\sqrt{15}}{6}  

     1518\frac{\sqrt{15}}{18}  

     536\frac{5\sqrt{3}}{6}  

     5318\frac{5\sqrt{3}}{18}  

  • Question 2
    300 seconds
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    Q.

    What is the conjugate of:
     5+75+\sqrt{7}  

    answer choices

    18

     5+75+\sqrt{7}  

     575-\sqrt{7}  

    32

  • Question 3
    300 seconds
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    Q.

    Rationalize the denominator:
     2812\frac{2\sqrt{8}}{\sqrt{12}}  

    answer choices

     966\frac{\sqrt{96}}{6}  

     263\frac{2\sqrt{6}}{3}  

     29612\frac{2\sqrt{96}}{12}  

     4223\frac{4\sqrt{2}}{2\sqrt{3}}  

  • Question 4
    300 seconds
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    Q.

    Multiply:
     (4+2)(42)\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)  

    answer choices

     16216-\sqrt{2}  

     424-\sqrt{2}  

    14

    18

  • Question 5
    300 seconds
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    Q.

    What is the conjugate of:
     6326-3\sqrt{2}  

    answer choices

     6+326+3\sqrt{2}  

     32+63\sqrt{2}+6  

     6326-3\sqrt{2}  

    18

  • Question 6
    300 seconds
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    Q.

    What should you multiply 615\frac{6}{1-\sqrt{5}}  by to rationalize the denominator?

    answer choices

    -4

     151-\sqrt{5}  

     1+51+\sqrt{5}  

     (335)2-\frac{\left(3-3\sqrt{5}\right)}{2}  

  • Question 7
    300 seconds
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    Q.

    Rationalize the denominator:
     7347\frac{7\sqrt{3}}{4\sqrt{7}}  

    answer choices

     72128\frac{7\sqrt{21}}{28}  

     721196\frac{7\sqrt{21}}{196}  

     2128\frac{\sqrt{21}}{28}  

     214\frac{\sqrt{21}}{4}  

  • Question 8
    300 seconds
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    Q.

    What is the conjugate of:
     8+368+3\sqrt{6}  

    answer choices

     8+368+3\sqrt{6}  

     3683\sqrt{6}-8  

     8368-3\sqrt{6}  

     36+83\sqrt{6}+8  

  • Question 9
    300 seconds
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    Q.

    Rationalize the denominator:
     1410\frac{1}{4\sqrt{10}}  

    answer choices

     14\frac{\sqrt{1}}{4}  

     1040\frac{\sqrt{10}}{40}  

     14\frac{1}{4}  

     10400\frac{\sqrt{10}}{400}  

  • Question 10
    300 seconds
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    Q.

    Rationalize the denominator:
     4121\frac{\sqrt{4}}{\sqrt{121}}  

    answer choices

     411\frac{4}{11}  

     484121\frac{\sqrt{484}}{121}  

     211\frac{2}{11}  

     2121121\frac{2\sqrt{121}}{121}  

  • Question 11
    300 seconds
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    Q.

    What is the conjugate of:
     4254\sqrt{2}-\sqrt{5}  

    answer choices

     42+54\sqrt{2}+\sqrt{5}  

     5+4\sqrt{5}+4  

     4254\sqrt{2}-\sqrt{5}  

    27

  • Question 12
    300 seconds
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    Q.

    What should you multiply 3227\frac{3\sqrt{2}}{2-\sqrt{7}}  by to rationalize the denominator?

    answer choices

     272-\sqrt{7}  

     7\sqrt{7}  

     2+72+\sqrt{7}  

     2\sqrt{2}  

  • Question 13
    300 seconds
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    Q.

    Rationalize the denominator:
     7310\frac{7\sqrt{3}}{\sqrt{10}}  

    answer choices

     70310\frac{70\sqrt{3}}{10}  

     73100\frac{7\sqrt{3}}{100}  

     73010\frac{7\sqrt{30}}{10}  

     737\sqrt{3}  

  • Question 14
    300 seconds
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    Q.

    Divide:
     103015\frac{10\sqrt{30}}{\sqrt{15}}  

    answer choices

     2303\frac{2\sqrt{30}}{3}  

     10210\sqrt{2}  

    20

     2102\sqrt{10}  

  • Question 15
    300 seconds
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    Q.

    Divide:
     1642214\frac{16\sqrt{42}}{2\sqrt{14}}  

    answer choices

     8148\sqrt{14}  

     383\sqrt{8}  

     838\sqrt{3}  

     38\frac{\sqrt{3}}{8}  

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