Question

compare root 5 and cube root 9​

Answer 1

root5 > cube root 9

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Answer 2

Answer:

begin math size 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

Step-by-step explanation: