Important Questions of Number Systems Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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111. Simplify: 12 square root of 18 minus 6 square root of 20 minus 3 square root of 50 plus 8 square root of 45
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112. If straight x equals 3 plus 2 square root of 2 comma space find space square root of straight x plus fraction numerator 1 over denominator square root of straight x end fraction
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113.  Simplify:  square root of 2 left parenthesis square root of 6 minus square root of 8 right parenthesis plus square root of 3 left parenthesis square root of 27 minus square root of 6 right parenthesis
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114.  Simplify:  fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction
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115. Find the simplified value of fraction numerator 1 over denominator 5 minus 2 square root of 3 end fraction plus fraction numerator 1 over denominator 5 plus 2 square root of 3 end fraction
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116. If straight x equals 3 minus 2 square root of 2 then find the value of space space open parentheses straight x squared minus 1 over straight x squared close parentheses.
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117.

If straight x equals fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 minus square root of 2 end fraction comma space space straight y space equals fraction numerator square root of 3 minus square root of 2 over denominator square root of 3 plus square root of 2 end fractionthen find the value of x2 + y2 - 10xy.

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118.

If square root of 5 equals 2.236 space a n d space square root of 10 equals 3.162 comma find the value of open parentheses fraction numerator square root of 10 minus square root of 5 over denominator square root of 2 end fraction close parentheses.

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119.

If straight a equals square root of 2 minus 1 comma space find the value of open parentheses a minus 1 over a close parentheses cubed.

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