Mathematics
Grade-8
Easy

Question

square root of 7 space i s

  1. Rational
  2. Irrational
  3. Real
  4. Fake

hintHint:

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.
    Question id- 1132286
    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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