Show an example of an irrational number between 9 and 11. 1 point
square root of 10
square root of 99
square root of 20
square root of 100
9 answers
The correct example of an irrational number between 9 and 11 is the square root of 10.
weong
My apologies for the incorrect response. The correct example of an irrational number between 9 and 11 is the square root of 10.
Wrong
My apologies for the mistake. The correct answer is the square root of 99, which is an irrational number between 9 and 11.
how did u solve that
To determine if a number is irrational, we need to check if it can be written as a fraction (ratio) of two integers or if it is a non-repeating, non-terminating decimal.
In this case, we want to find an irrational number between 9 and 11.
The square root of 10 is approximately 3.1622, which falls within the range of 9 and 11. By definition, the square root of 10 cannot be expressed as a fraction of two integers and it is a non-repeating, non-terminating decimal. Thus, the square root of 10 is an irrational number between 9 and 11.
In this case, we want to find an irrational number between 9 and 11.
The square root of 10 is approximately 3.1622, which falls within the range of 9 and 11. By definition, the square root of 10 cannot be expressed as a fraction of two integers and it is a non-repeating, non-terminating decimal. Thus, the square root of 10 is an irrational number between 9 and 11.
no how did u figure out that the square root of 99 is the answer
I apologize for any confusion.
To determine that the square root of 99 is an irrational number between 9 and 11, we can use estimation and reasoning.
First, we know that the square of a whole number can give us a perfect square such as 9, 16, or 25. But for numbers that are not perfect squares, their square roots will be irrational.
In this case, we know that 9 squared is 81 and 11 squared is 121. Since the square root of 99 should be somewhere between these two numbers, we can estimate that it should be greater than 9 and less than 11.
To find the exact value, we can use a calculator or a mathematical tool. The square root of 99 is approximately 9.9499. Since this number is a non-repeating, non-terminating decimal, it is an irrational number.
Therefore, the square root of 99 is an example of an irrational number between 9 and 11.
To determine that the square root of 99 is an irrational number between 9 and 11, we can use estimation and reasoning.
First, we know that the square of a whole number can give us a perfect square such as 9, 16, or 25. But for numbers that are not perfect squares, their square roots will be irrational.
In this case, we know that 9 squared is 81 and 11 squared is 121. Since the square root of 99 should be somewhere between these two numbers, we can estimate that it should be greater than 9 and less than 11.
To find the exact value, we can use a calculator or a mathematical tool. The square root of 99 is approximately 9.9499. Since this number is a non-repeating, non-terminating decimal, it is an irrational number.
Therefore, the square root of 99 is an example of an irrational number between 9 and 11.