if x=3+2√2, find the value of (√x-1/√x)
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Step-by-step explanation:
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Step-by-step explanation:
first we have to find √x
√x=√(1)^2+2*1*√2+(√2)^2
since a^2+2ab+b^2=(a+b)^2
√x=√(1+√2)^2
√x=1+√2
now find 1/√x by rationalizing
by rationalizing we get
1/√x=√2-1
√x-1/√x=1+√2-(√2-1)
√x-1/√x=2
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