SOLUTION: Find five rational numbers between sqrt(2) and sqrt(7).

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Question 1180514: Find five rational numbers between sqrt(2) and sqrt(7).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given: sqrt%282%29 and sqrt%287%29
Approximate value of sqrt%282%29++=+1.41 & sqrt%287%29+=+2.64
find 1.41%3Cx%3C+2.64
solutions:
x=2
x=2.1
x=2.2
x=2.3
x=2.4
x=2.5
check:
sqrt%282%29+%3C+2+%3C+sqrt%287%29
sqrt%282%29+%3C+2.1+%3C+sqrt%287%29
sqrt%282%29+%3C+2.2+%3C+sqrt%287%29
sqrt%282%29+%3C+2.3+%3C+sqrt%287%29
sqrt%282%29+%3C+2.4+%3C+sqrt%287%29
sqrt%282%29+%3C+2.5+%3C+sqrt%287%29...........all true