The simplest rationalisation factor of  is: from Mathematics

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 Multiple Choice QuestionsShort Answer Type

181. If ‘x’ is a positive real number and exponents are rational numbers, simplify:

open parentheses straight x to the power of straight b over straight x to the power of straight c close parentheses to the power of left parenthesis b plus c plus negative a right parenthesis end exponent cross times open parentheses x to the power of c over x to the power of a close parentheses to the power of left parenthesis c plus a minus b right parenthesis end exponent cross times open parentheses x to the power of a over x to the power of b close parentheses to the power of left parenthesis a plus b plus negative c right parenthesis end exponent

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 Multiple Choice QuestionsMultiple Choice Questions

182. Which of the following is a rational number?
  • square root of 5
  • straight pi
  • 0.101 001 0001 00001......
  • 0.101 001 0001 00001......
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183. 2. π is:
  • a rational number
  • an integer
  •  an irrational number
  •  an irrational number
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184. The decimal form of 56 over 1000 space i s
  • 0.56  
  • 0.056
  • 0.0056  
  • 0.0056  
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185. The value of fourth root of left parenthesis 64 right parenthesis to the power of negative 2 end exponent end root is:
  • 1 over 8
  • 1 half
  • 8

  • 8

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186. A number is an irrational if and only if its decimal representation is:
  • non-terminating
  • non-terminating and repeating
  • non-terminating and non-repeating
  • non-terminating and non-repeating
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187.

The value of fourth root of cube root of 2 squared end root end root is equal to:

  • 2 to the power of negative 1 over 6 end exponent
  • 2 to the power of negative 6 end exponent
  • 2 to the power of 1 over 6 end exponent
  • 2 to the power of 1 over 6 end exponent
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188. Which one of the following is an irrational number?
  • 0.14

  • 0.1416 with rightwards harpoon with barb upwards on top
  • 0. top enclose 1416
  • 0. top enclose 1416
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189. left parenthesis 5 plus square root of 5 right parenthesis open parentheses 5 minus square root of 5 close parentheses on simplification gives:
  • 20

  • 2 square root of 5
  • 10

  • 10

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190. The simplest rationalisation factor of square root of 50 is:
  • 5 square root of 2
  • square root of 2
  • 50

  • 50


B.

square root of 2
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