Mathematics
Grade10
Easy
Question
Compare
to
.
- Equivalent
- Not equivalent
![square root of 45 less or equal than square root of 4 square root of 5](data:image/png;base64,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)
![square root of 45 less than square root of 4 square root of 5](data:image/png;base64,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)
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.