$$ c=\sqrt{a^{2}+b^{2}} $$ Rearrange to isolate $$ b $$ $$ b=\sqrt{c^{2}-a^{2}} $$ $$ b=c-a $$ $$ b=\left(\sqrt{c}-a^{2}\right)^{2} $$ $$ b=c-a^{4} $$

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UpStudy AI · Accepted Answer

1. Start with the equation:
   $$
   c = \sqrt{a^2 + b^2}
   $$

2. Square both sides to eliminate the square root:
   $$
   c^2 = a^2 + b^2
   $$

3. Isolate $$ b^2 $$ by subtracting $$ a^2 $$ from both sides:
   $$
   b^2 = c^2 - a^2
   $$

4. Take the square root of both sides (assuming $$ b $$ is non-negative):
   $$
   b = \sqrt{c^2 - a^2}
   $$

The correct rearranged form isolating $$ b $$ is:
$$
b = \sqrt{c^2 - a^2}
$$
$$ b = \sqrt{c^2 - a^2} $$

Rearrange to isolate

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