kdc07010821
kdc07010821 kdc07010821
  • 22-09-2021
  • Mathematics
contestada

find the rational approximation of
[tex] \sqrt{15} [/tex]
approximate using perfect square

​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-09-2021

9514 1404 393

Answer:

  3 6/7

Step-by-step explanation:

The nearest perfect squares are ...

  3² = 9

  4² = 16

Then an approximation of the root can be arrived at by linear interpolation.

  √15 ≈ 3 +(15 -9)/(16 -9) = 3 6/7 . . . . . where 16 and 9 are the nearest squares

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