if x√8 , y=√2 then which of the following is rational
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Concept
- A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
- For instance, 3/7 and all integers are rational numbers.
Given
Two expression x=√8 , y=√2 are given
Find
We have to find which of this numbers are rational
Solution
The steps are as follow:
- x=√8 can be written as 2 x 2 x 2 which is equal to 8
- Since 8 has one root its is rational number
- 2 has no root so it is irrational number
Hence the expression x=√8 is rational number while expression y=√2 is irrational number
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