001158629 001158629
  • 25-02-2022
  • Mathematics
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Write an Irrational number that can be added to the irrational number 5 to get a rational sum of 6.​

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fieryanswererft
fieryanswererft fieryanswererft
  • 25-02-2022

Answer:

41 -12√5

Step-by-step explanation:

  • All square roots of natural numbers, other than of perfect squares, are irrational.

so, let the unknown irrational number be x,

solve:

√x + √5 = 6

√x = 6 - √5

( √x ) ² = ( 6 - √5 )²

x = ( 6 - √5 )( 6 - √5 )

x = 36 -6√5 -6√5 + 5

x = 41 -12√5

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