Mathematics
Grade10
Easy
Question
Compare
to ![2 square root of 2](data:image/png;base64,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)
- Equivalent
- Not equivalent
![square root of 32 less or equal than 2 square root of 2](data:image/png;base64,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)
![square root of 32 less than 2 square root of 2](data:image/png;base64,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)
Hint:
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.