State which of the following surds?and write order.3√5
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Answer:
5
=5
1/2
3
11
=11
1/3
2
6
3
=
6
12
=12
1/6
L.C.M of the denominators of the exponents is 12.
So,
5
=5
2
1
×
6
6
=
12
5
6
=
12
15625
3
11
=11
3
1
×
4
4
=
12
11
4
=
12
14641
2
6
3
=
6
12
=12
6
1
×
2
2
=
12
12
2
=
12
144
Hence, the Ascending order is 2
6
3
,
3
11
,
5
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