give an example of an irrational number that is greater than 10
Answers
Step-by-step explanation:
Example of irrational number
1.11.10100100...
2.13.505005000...
3.45.303003000...
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Answer:
To find:
An irrational number that is greater than 10.
Step-by-step explanation:
Irritation number: It cannot be expression in the form of , where, q0, where p and q are integers.
For example: .
We know that square of 10 is 100. So, any prime number's square root is an example of an irrational number that is greater than 10.
First prime number which comes after 100 is 101.
so, Required irrational number .
The sum of a rational number and an irrational number is decidedly irrrational, so 10+2–√ is irrational, and it is greater than 10 , so yes. (Or you can show the number 102–√ , which is obviously greater than 10 , and is irrational number as it is the product of an irrational number and a non-zero rational number.
Therefore, is an irrational number that is greater than 10
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