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Given x = 9 + 4√5, find √x - 1 / √x
√x = √(9 + 4√5)
√x = √(√5 + √4 + 2√(5x4))
√x = √(√5 + √4)2
√x = √5 + 2
1 / √x = 1 / (√5 + 2) rationalize we get
1 / √x = (√5 - 2)
∴ √x - 1 / √x = √5 + 2 - √5 + 2 = 4.
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√x = √(9 + 4√5)
√x = √(√5 + √4 + 2√(5x4))
√x = √(√5 + √4)2
√x = √5 + 2
1 / √x = 1 / (√5 + 2) rationalize we get
1 / √x = (√5 - 2)
∴ √x - 1 / √x = √5 + 2 - √5 + 2 = 4.
Plz mark as brainliest if helpful!!!
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