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If X=3+2√2, find the value of (√x - 1/√x) |
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Answer» 2. GQ Step-by-step explanation:x = 3 + 2√2 1/x = 1/(3+ 2√2)* (3-2√2)/(3-2√2)= 3- 2√2 using identity (a-B)^2 = a^2 + b^2 - 2ab=> (a - b) = √(a^2+b^2-2ab) √x - 1/√x =√{ (√x)^2 + (1/√x)^2 - 2(√x)(1/√x) }√x - 1/√x = √{(x + 1/x) - 2 }= √(3+2√2 +3 - 2√2 - 2) = √4 = 2 |
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