Mathematics
Grade10
Easy

Question

Compare square root of 45 to square root of 4 square root of 5 .

  1. Equivalent
  2. Not equivalent
  3. square root of 45 less or equal than square root of 4 square root of 5
  4. square root of 45 less than square root of 4 square root of 5

Hint:

Non-Equivalent fractions represent different fractions of a whole. We can use common denominators to compare fractions.

The correct answer is: Not equivalent


    Here, we have to compare √45 & √4√5.
    Now, √45 = √( 3 × 3 × 5) = 3√5 .
    √4√5 = 2√5 .
    Clearly 3√5 is not equal to 2 √5 .
    Hence, the correct option is b).

    The values of these fractions are not same. So √45 and √4√5 are not equivalent.

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