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Question

Reduce the following to surd of the same order:
5,415 and 850

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Solution

The given surds 5,415,850can be rewritten as follows:

5=512415=1514850=5018

The denominators of the powers of above surds are 2,4 and 8 and the LCM of 2,4 and 8 is 8. Therefore,

5=512=51×42×4=548=854=8625415=1514=151×24×2=1528=8152=8225850

Hence, the surds 5,415,850 are reduced to the surd of same order 8.

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