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Rearrange the equation b = a sqrt((U2)/(c+U2)) to make a the subject.

April 5, 2026Mathematics

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Step 1: Divide both sides by $a$ .

b = a \sqrt{\frac{U^2}{\sqrt{c+U^2}}}

\frac{b}{a} = \sqrt{\frac{U^2}{\sqrt{c+U^2}}}

Step 2: Square both sides of the equation.

\left(\frac{b}{a}\right)^2 = \left(\sqrt{\frac{U^2}{\sqrt{c+U^2}}}\right)^2

\frac{b^2}{a^2} = \frac{U^2}{\sqrt{c+U^2}}

Step 3: Multiply both sides by $\sqrt{c+U^2}$ .

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