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3 votes
Find the rational approximation of


√(15)
approximate using perfect square



User Humbagumba
by
4.1k points

1 Answer

4 votes

9514 1404 393

Answer:

3 6/7

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

User Bambou
by
4.0k points