Question

What is the simplified form of the following expression? Assume x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction.

Answer 1

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  $2x^4-3 > 0$

What is root index ?

In  $y=a^{1/n}$ n is root index of a.

Here given equation

x greater-than  RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.

It can be written as:

$x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0$

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  $2x^4-3 > 0$

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