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Which of the following is a rational number?

a.
√√3
b. √11
c. √8
C.
d.
e.
3
18

25
36

User Xtian
by
7.1k points

1 Answer

2 votes

Final answer:

To determine whether a number is rational, we need to check if it can be expressed as a fraction. Options √8, 3, 18, √25, and 36 are all examples of rational numbers.


Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. To identify which of the given options is a rational number, we need to check if the number can be written as a fraction.

Option a. √√3 is not a rational number since the square root of any number that is not a perfect square cannot be expressed as a fraction.

Option b. √11 is not a rational number for the same reason as option a.

Option c. √8 is a rational number since it can be written as √(4*2) = 2√2 and expressed as a fraction.

Option d. 3 is a rational number since it can be written as 3/1.

Option e. 18 is a rational number since it can be written as 18/1.

Option √25 is a rational number since it can be expressed as 5/1.

Option 36 is a rational number since it can be written as 36/1.

Therefore, the rational numbers in the given options are: √8, 3, 18, √25, and 36.


Learn more about identifying rational numbers

User INecas
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