Mathematics
Grade10
Easy

Question

Compare square root of 32 to 2 square root of 2

  1. Equivalent
  2. Not equivalent
  3. square root of 32 less or equal than 2 square root of 2
  4. square root of 32 less than 2 square root of 2

hintHint:

Non equivalent fractions are not equal to each other.

The correct answer is: Not equivalent


    Here, we have to compare √32 to 2√2 .
    Now, √32 = √( 2 × 2 × 2 × 2 × 2 ) .
    = √25
    = √( 24 × 2 ).
    = 22√2 i.e 4√2 .
    Clearly, 4√2 ≠ 2√2.
    Hence, the correct option is (b).

    Square of 2√2 is 8 which is not equal to √32.

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