Mathematics
Grade-8
Easy

Question

The smallest real number among 6 square root of 2 comma space 2 square root of 6 comma space 2 square root of 3 space and space 4 square root of 3 is ___________.

  1. 2 square root of 3
  2. 2 square root of 6
  3. 6 square root of 2
  4. 4 square root of 3

hintHint:

1. Rational numbers refer to those numbers that can be represented as a simple fraction.
2. Irrational numbers refer to those numbers that cannot be represented as a simple fraction.
3. Real numbers is a union of both rational & irrational numbers.

The correct answer is: 2 square root of 3


    GIVEN-
    Given numbers- 6√2, 2√6, 2√3 and 4√3
    TO FIND-
    Smallest real number among the given numbers.
    SOLUTION-
    We know that-
    6√2 = √(6*6) * √2 = √36 * √2 = √72 ...................................... (m = √m * √m)
    2√6 = √(2*2) * √6 = √4 * √6 = √24 ...................................... (m = √m * √m)
    2√3 = √(2*2) * √3 = √4 * √3 = √12 ...................................... (m = √m * √m)
    4√3 = √(4*4) * √3 = √16 * √3 = √48 ...................................... (m = √m * √m)
    Hence, we need to find the smallest real number among √12, √24, √48 and √72, which is √12 i.e. 2√3
    FINAL ANSWER-
    Option 'a' i.e. '2√3' is the correct answer to the given question.

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