Mathematics
Grade-8
Easy

Question

The irrational number between 2 and 2.5 is

  1. square root of 11
  2. square root of 5
  3. square root of 22.5 end root
  4. square root of 12.5 end root

hintHint:

In this question, we have given the square root number and we have to find in which two numbers it lies. Squares, as well as square roots Both ideas, are diametrically opposed to one another. Squares are the numbers that are produced when a value is multiplied by itself. Here we will use the concept of square root to find the answer.

The correct answer is: square root of 5


    In this question, we have asked to find which irrational number lies in between 2 and 2.5.
    A rational number is a number that is in the form of p/q where p and q are integers and q is not equal to 0. Real numbers that cannot be expressed as a straightforward fraction are referred to be irrational numbers.
    Let's first write all the square roots starting from 1, we have:
    square root of 1 equals 1
square root of 4 equals 2
square root of 6.25 end root equals 2.5
    Now the irrational numbers that we have are: square root of 22.5 end root, square root of 11, square root of 5square root of 12.5 end root
    Out of all the four numbers, square root of 5 is the number which comes in between square root of 4 space a n d space square root of 6.25 end root which is in between 2 and 2.5 respectively.

    Here we were given the numbers 2 and 2.5 and we were supposed to find which irrational number lies in between them. So we started off with finding the square root of the number and computed which can number can lie in between them, and we found that square root of 5 lies in between 2 and 2.5.

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