Math, asked by ttvsavageblood, 10 months ago

give an example of an irrational number that is greater than 10

Answers

Answered by Anonymous
27

Step-by-step explanation:

Example of irrational number

1.11.10100100...

2.13.505005000...

3.45.303003000...

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Answered by pinkypearl301
0

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  \frac{p}{q}, where, q\neq0, where p and q are integers.

For example: .\sqrt{2} \sqrt3, \pi , 1.23639 etc

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 \sqrt{101}.

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, \sqrt{101} is an irrational number that is greater than 10

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