Find three different irrational numbers between the rational numbers 5/7 and 9/11.
Question
Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.
Answer
The rational numbers $\frac{5}{7}$ and $\frac{9}{11}$ can be expressed as decimal numbers as approximately $0.7143$ and $0.8182$, respectively.
Three different irrational numbers between these two can be:
- $\sqrt{0.52}$
- $\pi \times 0.25$ (since $\pi$ is irrational)
- $\ln(2)$ (the natural logarithm of 2)
Each of these numbers is irrational and falls between the given rational numbers.
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Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).
Substance Dissolved | |||||
|---|---|---|---|---|---|
283K | 293K | 313K | 333K | 353K | |
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36 | 36 | 36 | 37 | 37 | |
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