Respuesta :

Answer: [tex]x = (\frac{1}{4ab})^{2}[/tex]

Step-by-step explanation:

Given:

[tex]4a\sqrt{x} = \frac{1}{b}[/tex]

To make [tex]x[/tex] the subject of the formula means that we want to make [tex]x[/tex] to stand alone , the first thing to do is to multiply through by 1/4a , that is

[tex]\sqrt{x} = \frac{1}{4ab}[/tex]

take the square  of both sides:

[tex]x = (\frac{1}{4ab})^{2}[/tex]

Step-by-step explanation:

[tex]4a\sqrt{x} = \frac{1}{b} \\\\\sqrt{x} = \frac{1}{4ab}\\\\x= (\frac{1}{4ab})^{2} \\\\x= \frac{1}{16a^{2}b^{2} }[/tex]