Correct option is C
Concept Used:
- A rational number is a number that can be expressed as a ratio of two integers (p/q) where q ≠ 0.
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- √(perfect square) = integer
Solution:
Option A: 2/√3 is irrational because √3 is irrational, and dividing by an irrational number results in an irrational number.
Option B: √3/4 is also irrational because √3 is irrational.
Option C: √(25/49) = √25 / √49 = 5/7 → This is a rational number because both 5 and 7 are integers.
Option D: 7√2 is irrational because √2 is irrational and multiplying an irrational number by a rational number (7) gives an irrational result.
Hence, the correct answer is: √(25/49)