To determine which of the given numbers is irrational, let's analyze each option:
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A fraction with numerator negative 9 and denominator 5: This is \(-\frac{9}{5}\), which is a rational number (since it can be expressed as the ratio of two integers).
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A fraction with numerator square root of 5: This can be expressed as \(\frac{\sqrt{5}}{1}\). Since \(\sqrt{5}\) is not a perfect square, it is irrational; thus, this entire fraction is irrational.
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A fraction with numerator 7 and denominator 3: This is \(\frac{7}{3}\), which is a rational number.
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Square root of 9: This evaluates to \(3\), which is a rational number.
Based on this analysis, the number that is irrational is:
A fraction with numerator square root of 5.
1 answer