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Question

State which of the following are pure surds and mixed surds:
348

A
Pure surd
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B
Mixed surd
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C
Not a surd
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D
None of above
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Solution

The correct option is A Mixed surd
348

=342×2×2
=34×22
=322
A surd having a rational co-efficient other than unity is called a mixed surd.
In other words if some part of the quantity under the radical sign is taken out of it, then it makes the mixed surd
Thus, 348 is a mixed surd as 34 is outside the radical sign and 8 is a surd

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