Note √ implies square root.
frac{\sqrt{x}\sqrt{x+1}+1}\{\sqrt{x+1}}
It doesn't. If it were
(√x√(x + 1) + √(x + 1))/(√(x + 1)), then you would have
(√x√(x + 1) + √(x + 1))/(√(x + 1)) =
(√x√(x + 1) + 1√(x + 1))/(√(x + 1)) =
(√x + 1)(√(x + 1))/(√(x + 1)) =
√x + 1
Another way to show that it's wrong is to pick a value for x, say 3.
(√3√(3 + 1) + 1)/√(3 + 1) =
(√3√4 + 1)/√4 =
(√12 + 1)/√4 =
√12/2 + 1/2
but
√(3 + 1) =
2 so they're not equal
((√x*√(x + 1)) + 1) / (√(x + 1))
= √x + 1 / (√(x + 1))
It does not!
TYPO?
(I cannot see what it might be.)
Idk
Ok
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Verified answer
It doesn't. If it were
(√x√(x + 1) + √(x + 1))/(√(x + 1)), then you would have
(√x√(x + 1) + √(x + 1))/(√(x + 1)) =
(√x√(x + 1) + 1√(x + 1))/(√(x + 1)) =
(√x + 1)(√(x + 1))/(√(x + 1)) =
√x + 1
Another way to show that it's wrong is to pick a value for x, say 3.
(√3√(3 + 1) + 1)/√(3 + 1) =
(√3√4 + 1)/√4 =
(√12 + 1)/√4 =
√12/2 + 1/2
but
√(3 + 1) =
2 so they're not equal
((√x*√(x + 1)) + 1) / (√(x + 1))
= √x + 1 / (√(x + 1))
It does not!
TYPO?
(I cannot see what it might be.)
Idk
Ok