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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

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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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fraction numerator 3 plus square root of 2 over denominator 3 minus square root of 2 end fraction fraction numerator 3 plus square root of 2 over denominator 3 minus square root of 2 end fraction equals fraction numerator 3 plus square root of 2 over denominator 3 minus square root of 2 end fraction cross times fraction numerator 3 plus square root of 2 over denominator 3 plus square root of 2 end fraction

Mul;tiplying the numerator and denominator by

7 minus 4 square root of 3

equals space fraction numerator left parenthesis 5 plus 2 square root of 3 left parenthesis left parenthesis 7 minus 4 square root of 3 right parenthesis over denominator left parenthesis 7 right parenthesis squared minus left parenthesis 4 square root of 3 right parenthesis squared end fraction equals space fraction numerator 5 left parenthesis 7 minus 4 square root of 3 right parenthesis end root plus 2 square root of 3 left parenthesis 7 minus 4 square root of 3 right parenthesis over denominator 49 minus 48 end fraction equals fraction numerator 35 minus 20 square root of 3 plus 14 square root of 3 minus 24 over denominator 1 end fraction equals 11 minus 6 square root of 3

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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 5

on the number line.

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