3 years ago

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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