# Algebra II

posted by .

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 -

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 -

a^2+b^2=c^2

a^2=c^2-b^2

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

## Similar Questions

1. ### algebra

Simplify each expression. Assume all variables represent nonzero real numbers. -40^0- 30^0
2. ### algebra

Simplify each radical expression. Assume all variables represent positive real numbers ãa^10
3. ### algebra repost

Simplify each expression. Assume all variables represent nonzero real numbers. -40^0- 30^0
4. ### algebra

Simplify the expression. Assume all variables represent nonzero real numbers (x^5)^-10
5. ### algebra

Simplify expression. Assume all variables represent nonzero real numbers. ( (3y^2)/2)^3 I started to reduce but it did not look right.
6. ### algebra

this is what they want and im confused can any one explain it Rewrite the following in simplified radical form. Assume that all variables represent positive real numbers
7. ### Algebra

4ã(50x)+3ã(2x)+ã(72x) Combine. Assume that all variables represent nonnegative real numbers.
8. ### Algebra

Simplify the radical. Assume that all variables represent positive real numbers. cube root (120m^20 n^2 / mn^14)
9. ### Algebra

These are Two problems that I am having difficulty with. Write as a single logarithm. Assume all variables represent positive real numbers. 1. 5log3 a-7 log3 b+2 log3c 2.log7(x2+5x-24)-log7(x+8)
10. ### Algebra

16 1/4 simplify expression assume all variables represent positive numbers

More Similar Questions