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प्रश्न
Show that `sqrt(5)` is an irrational numbers. [Use division method]
उत्तर
| 2.23606... | |
| 2 | 5.0000000000... -4 |
| 42 | 100 -84 |
| 443 | 1600 -1329 |
| 4466 | 27100 -26796 |
| 447206 | 3040000 -2683236 |
| 356764 ... | |
Clearly, `sqrt(5)` = 2.23606......; which is an irrational number.
Hence, `sqrt(5)` is an irrational number.
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संबंधित प्रश्न
Show how `sqrt5` can be represented on the number line.
Explain, how irrational numbers differ from rational numbers ?
Give an example of two irrational numbers whose:
sum is an irrational number.
Find the square of : √5 - 2
Prove that the following number is irrational: 3 - √2
State whether the following number is rational or irrational
`((sqrt5)/(3sqrt(2)))^2`
Write the following in ascending order:
`2root(3)(3), 4root(3)(3) and 3root(3)(3)`
The product of a non-zero rational and an irrational number is ______.
A rational number between `sqrt(2)` and `sqrt(3)` is ______.
Show that x is irrational, if x2 = 6.
