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vova2212 [387]
3 years ago
12

Find the rational approximation of

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

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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