Mathematics
Grade10
Easy
Question
Compare
to ![4 square root of 3](data:image/png;base64,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)
- Equivalent
- Not equivalent
![square root of 48 greater than 4 square root of 3](data:image/png;base64,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)
![square root of 48 less than 4 square root of 3](data:image/png;base64,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)
Hint:
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
The correct answer is: Equivalent
Here, we have to compare √48 to 4√3 .
Now, √48 = √ ( 2 × 2 × 2 × 2 × 3 ) .
= √ ( 24 × 3 ).
= 22√3 i.e 4√3
Clearly 4√3 is equal to 4√3 .
Hence, the correct option is (a).
Two fractions are equal if they have the same value.