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Question

Reduce the following to surds of the same order:
2,37,411 and 121671

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Solution

The given surds 2,37,411 and 121671can be rewritten as follows:

2=21237=713411=1114121671=1671112

The denominators of the powers of above surds are 2,3,4 and 12 and the LCM of 2,3,4 and 12 is 12. Therefore,

2=212=21×62×6=2612=1226=126437=713=71×43×4=7412=1274=122401411=1114=111×34×3=11312=12113=121331121671

Hence, the surds 2,37,411 and 121671 are reduced to the surd of same order 12.

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