a) ((√(5x) + √x) / √x) * (√5 - 1) + (√32 - √2)² |
= ((√(5x) + √x) * √x / x) * (√5 - 1) + (√32 - √2)² |
= ((x√5 + x) / x) * (√5 - 1) + 32 - 2√64 + 2 |
= (√5 + 1) * (√5 - 1) + 34 - 16 |
= 5 - 1 + 34 - 16 = 22 |
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b) √128 + √(5a²) / √(5a) + (4√a - a√2) / √(2a) |
= √(2 * 64) + 5a√a / (5a) + (4a√2 - 2a√a) / 2a |
= 8√2 + √a + 2√2 - √a |
= 8√2 + 2√2 = 10√2 |
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c) (2√y + √(2y)) / √(2y) + (8√y - 2√(2y)) / √(8y) |
= (2y√2 + 2y) / 2y + (8y√8 - 8y) / 8y |
= √2 + 1 + √8 - 1 |
= √2 + √8 = √2 + 2√2 = 3√2 |
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