Which is the greatest among √2, 3
√4 and 4
√3?
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Answer:
2–√,4–√3,3–√42,43,34
= 212,413,314212,413,314
= 2612,4412,33122612,4412,3312 [Making all the powers as like terms]
= 26−−√12,44−−√12,33−−√122612,4412,3312
= 64−−√12,256−−−√12,27−−√126412,25612,2712
Here 256−−−√1225612 is greater.
Therefore, 4–√343 is greater.
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