kaurnavjot1765 kaurnavjot1765
  • 25-05-2020
  • Mathematics
contestada

three irrational number whose sum is a rational number.

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-05-2020

Answer:

sqrt(2)

sqrt(3)

6 - sqrt(2)  sqrt(3)

Step-by-step explanation:

sqrt(2) is an irrational number.

sqrt(3) is an irrational number.

Let x = 6 - sqrt(2) - sqrt(3).

x is also an irrational number.

Now add the three numbers above:

sqrt(2) + sqrt(3) + [6 - sqrt(2) - sqrt(3)] =

= sqrt(2) + sqrt(3) + 6 - sqrt(2) - sqrt(3)

= 6

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