Mathematics
Grade-8
Easy
Question
- Rational
- Irrational
- Real
- Fake
Hint:
Terminate decimal refers to a decimal with a finite number of digits after the decimal point.
A recurring decimal refers to a decimal with a repeated digit or digits at the end after the decimal point.
Rational numbers refer to those numbers that can be represented as a simple fraction and can be either a whole number, a terminating decimal or a non terminating recurring decimal.
Irrational numbers refer to those numbers that cannot be represented as a simple fraction and are non-terminating non-recurring decimal.
We use the long division method to find the square root of 7 and check the nature of the answer so obtained.
The correct answer is: Irrational
GIVEN-
Given number = √7
TO FIND-
Solution for √7.
SOLUTION-
Using the long division method, we find the square root of 7. Refer the image attached below.
We observe that √7 = 2.645......., which is a non-terminating, non-recurring decimal.
Hence, √7 is an irrational number.
FINAL ANSWER-
Option 'b' i.e. 'Irrational' is the correct answer to the given question.
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