In the following equations, find which variables x, y, z etc., r
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    Number Systems

    Multiple Choice QuestionsShort Answer Type

    91.

    y2 = 9

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    92.
    straight z squared equals 0.04
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    93. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

    straight u squared equals 17 over 4

    straight u squared equals 17 over 4

    straight u squared equals 17 over 4
    rightwards double arrow straight u space equals space square root of 17 over 4 end root rightwards double arrow straight u space equals space square root of 17 over 4 end root

    rightwards double arrow space straight u space equals fraction numerator square root of 17 over denominator 2 end fraction rightwards double arrow straight u space equals 1 half cross times square root of 17
    because space space 1 half space left parenthesis not equal to 0 right parenthesis is a rational number and square root of 17 is an irrational number.

    therefore   1 half space left parenthesis not equal to 0 right parenthesis  is a rational number and square root of 17 is an number irrational number.

    therefore space space space space 1 half space cross times square root of 17  is an irrational number.
    because   The product of a non-zero rational number with an irrational number is irrational.

    therefore     u is an  irratinal number.


     
     
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    94. straight v squared equals 3
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    95. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

    straight w cubed equals 27
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    96. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

    straight t squared equals 0.4
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    97. Rationalise the denominators of the following:

    fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction
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    98. Rationalise the denominators of the following:

    fraction numerator 3 plus square root of 2 over denominator 3 minus square root of 2 end fraction
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    99. Rationalise the denominators of the following:

    fraction numerator 3 plus square root of 7 over denominator 3 minus 4 square root of 7 end fraction
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    100. Represent square root of 5on the number line.
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