X=5-2√6; find √x+1/√x
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Answer:
answer 2√3
Step-by-step explanation:
Let : x = 5 + 2√6.
Then : x = 3 + 2 + 2√((3)(2))
∴ x = (√3)² + (√2)² + 2(√3)(√2) = (√3 + √2)²
∴ √x = √3 + √2 ...... (1)
∴ 1/(√x) = 1/(√3 + √2) = √3 - √2 ........ (2)
∴ (√x) + (1/√x) = 2√3 Ans,
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