Which Number is Larger? 😁

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[@robertveith6383]

[4^sqrt(2)]^[2sqrt(2)] vs. [3^sqrt(3)]^[2sqrt(2)] 4^4 vs. 3^[2sqrt(6)] 256 = 4^4 vs. 9^sqrt(6) < 9^2.5 = 9^2*9^0.5 = 81*3 = 243 256 > 243 Therefore, 4^sqrt(2) > 3^sqrt(3).

[@RyanLewis-Johnson-wq6xs]

4^Sqrt[2]>3^Sqrt[3] final answer

[@charleskrueger5523]

Hmm. You invented a function and graphed it, but didn’t do very much with that graph! I see that the slope>0 up to about x=3.8, where it reaches its maximum, then is negative thereafter. Any interesting explanation for this?

[@ingenuintrutschnig3184]

How smart!!! Great!!!

[@billtruttschel]

There's one type of math problem I really dislike: comparison problems.

[@SidneiMV]

Why?

[@armacham]

Because you don't measure up

[@billtruttschel]

@@armacham That's not what your mom told me.

[@gkotsetube]

I don't think anybody learns anything with this kind of problems-tailored-to-their-solutions.

[@claudelebourlegat]

already posted one year ago !

[@SidneiMV]

WOW 😍😍😍😍😍