| a) (x + 1) / √x | * √x |
| = (x + 1)√x / x = (x√x + √x) / x |
| |
| b) (1 + a) / √(ab) | * √(ab) |
| = √(ab)(1 + a) / (ab) = (√(ab) + a√(ab)) / (ab) |
| |
| c) (xy - y) / (x√y) | * √y |
| = √y(xy - y) / (xy) = y√y (x - 1) / (xy) = √y (x - 1) / x |
| = (x√y - √y) / x |
| |
| d) (2y - y√2) / √(2y) | * √(2y) |
| = √(2y) (2y - y√2) / (2y) = (2y√(2y) - 2y√y) / (2y) |
| = √(2y) - √y |
| |
| e) (√p + √q) / (p√q) | * √q |
| = √q(√p + √q) / (pq) = (√(pq) + q) / (pq) |
| |
| f) (x√y - y√x) / √(xy) | * √(xy) |
| = √(xy) (x√y - y√x) / (xy) = (xy√x - xy√y) / (xy) |
| = xy(√x - √y) / (xy) = √x - √y |
|
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