If

is an integer, you can use induction. First show the inequality holds for

. You have

, which is true.
Now assume this holds in general for

, i.e. that

. We want to prove the statement then must hold for

.
Because

, you have

and this must be greater than

for the statement to be true, so we require

for

. Well this is obviously true, because solving the inequality gives

. So you're done.
If you

is any real number, you can use derivatives to show that

increases monotonically and faster than

.
Since you have an angle and at least one side you can use either sine, cosine or tan. For this question, you would use sine like above. Hope this helps!
Answer:
Step-by-step explanation:
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7√(x²) 7√(x²)
------------- = ----------------------
5 √(y³) 5√( y^(3/2) )
We want to get the fractional exponent out of the denominator. To do this, multiply both numerator and denominator by y^(1/2):
7√(x²) 7√(x²) y^(1/2) 7√(x²)·y^(1/2) 7x√y
------------- = --------------------- * ----------- = --------------------- = ----------
5 √(y³) 5√( y^(3/2) ) y^(1/2) 5 √(y²) 5y
This is the final answer. We have succeeded in removing radicals / fractional exponents from the denominator.