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Number Systems

Short Answer Type

101. Represent

square root of 4.7 end root

on the number line.

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102. Check whether

7 square root of 5 comma fraction numerator 7 over denominator square root of 5 comma end fraction comma space square root of 2 plus 21 comma space space straight pi minus 5

are irrational numbers or not.

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103. Add

2 square root of 2 plus 5 square root of 3 space and space square root of 2 minus 3 square root of 3.

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104. Multiply

6 square root of 5 space by space 2 square root of 5.

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105. Divide

8 square root of 15 space by space 2 square root of 5.

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106. Rationalise the denominator of

fraction numerator 1 over denominator square root of 2 end fraction.

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107. Rationalise the denominator of

fraction numerator 5 over denominator square root of 3 minus square root of 5 end fraction.

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108.

If $fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction equals space straight a plus straight b square root of 3$ find the values of a and b.

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109. Simplify the following by rationalising the denominators: $fraction numerator 3 over denominator 4 square root of 5 minus square root of 3 end fraction plus fraction numerator 2 over denominator 4 square root of 5 plus square root of 3 end fraction$

Sollution not provided.

Ans. $fraction numerator 20 square root of 5 plus square root of 3 over denominator 77 end fraction$

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110. Simplify the following by rationalising the denominators:

fraction numerator 3 square root of 3 minus 2 square root of 5 over denominator 3 square root of 3 plus 2 square root of 5 end fraction plus fraction numerator square root of 12 over denominator square root of 5 minus square root of 3 end fraction

92 Views