SOLUTION: Assume that both sqrt(x) and sqrt(y) are simplified completely and that ≠ .
Why is it always possible to multiply sqrt(x)and sqrt(y) together and get sqrt(xy) for the pr
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Question 964707: Assume that both sqrt(x) and sqrt(y) are simplified completely and that ≠ .
Why is it always possible to multiply sqrt(x)and sqrt(y) together and get sqrt(xy) for the product, but not always possible to add sqrt(x) and sqrt(y) together and get sqrt(x+y)
for the sum?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Because,
but
.
.
.
Let's assume it did,
Square both sides,
The left side is only equal to the right when or or .
So it's not an identity, so,
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