Mathematics
Grade-8
Easy

Question

The largest real number among 2 square root of 3 comma space 4 square root of 15 space and space 3 square root of 2 space is space__________.

  1. square root of 15
  2. 2 square root of 3
  3. 4
  4. 3 square root of 2

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: 3 square root of 2


    GIVEN-
    Given numbers- 2√3, 4√15 and 3√2
    TO FIND-
    Largest real number among the given numbers.
    SOLUTION-
    We know that-
    3√2 = √(3*3) * √2 = √9 * √2 = √18 ...................................... (m = √m * √m)
    2√3 = √(2*2) * √3 = √4 * √3 = √12 ...................................... (m = √m * √m)
    4√15 = √(4*4) * √15 = √16 * √15 = √240 ...................................... (m = √m * √m)
    Hence, we need to find the largest real number among √12, √18 and √240, which is √240 i.e. 4√15

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