Classify the following numbers as rational or irrational: from

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 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






fraction numerator 1 over denominator square root of 2 end fraction

because space space 1 space left parenthesis not equal to 0 right parenthesis is a rational number and square root of 2 left parenthesis not equal to 0 right parenthesis is irrational number.
therefore space space fraction numerator 1 over denominator square root of 2 end fraction is an irrational number.

because The quotient of a non-zero rational number with an irrational number is irrational.
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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
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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



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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




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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.


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80. Rationalise the denominators of the following:

fraction numerator 1 over denominator square root of 7 end fraction
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