contestada

If [tex] x^{1/4}= \frac{1}{p} [/tex] and [tex] y^{1/2}= \frac{1}{q} [/tex] , what is the value of [tex] \sqrt{xy} [/tex]

Respuesta :

[tex]x^{1/4}=\dfrac1p\implies x=\dfrac1{p^4}[/tex]
[tex]y^{1/2}=\dfrac1q\implies y=\dfrac1{q^2}[/tex]

[tex]\implies \sqrt{xy}=\sqrt{\dfrac1{p^4}\times\dfrac1{q^2}}=\dfrac1{p^2q}[/tex]

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