No
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The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
yes
6.527 = 6527/1000, so it is a rational number.
2.744 is the ratio of 2744 to 1000. That's rational.
No, because it can be expressed as a fraction in the form of 897/1000