Simplify each of the following expressions: from Mathematics Nu
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    Number Systems

    Multiple Choice QuestionsShort Answer Type

    71. Classify the following numbers as rational or irrational:

    fraction numerator 2 square root of 7 over denominator 7 square root of 7 end fraction
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    72. Classify the following numbers as rational or irrational:

    fraction numerator 1 over denominator square root of 2 end fraction
    109 Views
    Answer
    73. Classify the following numbers as rational or irrational:

    2 straight pi
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    74. Simplify each of the following expressions:

    left parenthesis 3 plus square root of 3 right parenthesis space left parenthesis 2 plus square root of 2 right parenthesis
    192 Views
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    75. Simplify each of the following expressions:

    left parenthesis 3 plus square root of 3 right parenthesis left parenthesis 3 minus square root of 3 right parenthesis
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    76. Simplify each of the following expressions:

    left parenthesis square root of 5 plus square root of 2 right parenthesis squared

    left parenthesis square root of 5 plus square root of 2 right parenthesis squared
    left parenthesis square root of 5 plus square root of 2 right parenthesis squared space equals open parentheses square root of 5 close parentheses squared plus 2 square root of 5 space square root of 2 plus open parentheses square root of 2 close parentheses squared equals space 5 plus 2 square root of 10 plus 2 because space space space square root of a space square root of b space equals space square root of a b end root equals 7 plus 2 square root of 10.
    115 Views
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    77. Simplify each of the following expressions:

    left parenthesis space square root of 5 minus square root of 2 right parenthesis space left parenthesis square root of 5 plus square root of 2 right parenthesis
    123 Views
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    78. Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, straight pi equals straight c over straight d This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
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    79. Represent square root of 9.3 end root on the number line.
    265 Views
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    80. Rationalise the denominators of the following:

    fraction numerator 1 over denominator square root of 7 end fraction
    117 Views
    Answer
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