What is 3x^{1/2}+x^{-1/2} ?

The solution to 3x^{1/2}+x^{-1/2} is 3x^{1/2}+1/(x^{1/2)}

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simplify 3x^{1/2}+x^{-1/2}

simplify

3 x^{\frac{1}{2}} + x^{- \frac{1}{2}}

3 x^{\frac{1}{2}} + \frac{1}{x ^{\frac{1}{2}}}

Solution steps

3 x^{\frac{1}{2}} + x^{- \frac{1}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- \frac{1}{2}} = \frac{1}{x ^{\frac{1}{2}}}

= 3 x^{\frac{1}{2}} + \frac{1}{x ^{\frac{1}{2}}}

(\frac{( - b )}{a})^{2} + 2 (\frac{c}{a})

5 + 5 x^{5}

\frac{( 81 a ^{4} + 16 b ^{8} )}{( 3 a + 4 b ^{2} )}

(4 z^{2})^{3}

(\frac{x}{2} - \frac{y}{3})^{3}

What is 3x^{1/2}+x^{-1/2} ?
The solution to 3x^{1/2}+x^{-1/2} is 3x^{1/2}+1/(x^{1/2)}