Posted by **Kiara** on Wednesday, July 9, 2014 at 4:07pm.

A student is asked to solve b2 + a2 = c2 for a and gives the following solution. Assume all variables represent positive Real Numbers.

b2 + a2 = c2

pb2 + a2 = pc2

b + a = c

a = c-b

Explain the mistake(s) made by the student and provide the correct solution.

- Algebra II -
**Steve**, Wednesday, July 9, 2014 at 4:11pm
p? do you mean √?

√(b^2+a^2) = √c^2

clearly the next step is flawed.

√(b^2+a^2) ≠ b+a

while √(b^2*a^2) = √b^2 * √a^2,

√(b^2+a^2) ≠ √b^2 + √a^2

I figure you can take it from there

- Algebra II -
**Alyanna**, Wednesday, July 9, 2014 at 9:47pm
a^2+b^2=c^2

a^2=c^2-b^2

a=square root of (c^2-b^2)

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