asked 127k views
3 votes
Find the rational approximation of


√(15)
approximate using perfect square



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

answered
User Bambou
by
8.3k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.