COMPARE : ROOT 2  and  CUBE ROOT 3 ?

Asked by nisha_vini29 | 9th Nov, 2017, 01:57: PM

Expert Answer:

Comparison of surds:
begin mathsize 16px style The space order space of space the space surds space square root of 2 space and space cube root of 3 space are space 2 space and space 3 space respectively.
LCM space of space 2 space and space 3 space equals space 6
therefore space square root of 2 equals root index 6 of 2 cubed end root equals root index 6 of 8 space and space cube root of 3 equals root index 6 of 3 squared end root equals root index 6 of 9
since space 8 less than 9 comma
root index 6 of 8 less than root index 6 of 9
rightwards double arrow square root of 2 space less than space cube root of 3 end style

Answered by Rashmi Khot | 8th Dec, 2017, 05:13: PM