Question

If x = 3√3, y=4√4, z = 6√6
(A) x< y
(B) z<x
(C) y<z
(D) x = y = z​

Answer 1

There’s ways to express this in symbols on Quora. You put the text string

math

inside square brackets, like this: [ math ], but without the spaces between the [ and the m, and the h and the ].

Then you write what you want to say using LaTeX format, and then [ /math ], again without the spaces.

Which is greater, [ math ]\sqrt[3]{3}[ /math ] or

(No, leave out the spaces

Which is greater,  3‾√3,or4‾√4  ? Now as to the answer, let’s avoid calculators by taking everything to the power 12. That will turn both numbers into integers, and in a way that keeps track of which is bigger.

Now  (3‾√3)12=(3‾√33)4=34=81,(4‾√4)12=43=64. . So the first number is bigger because 81 is more than 64.