If x+1/x= 5, then find the value of √x+1/√x.
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So the value of x+1/√x is (5 + √21)^3/2 + 2√2 / 2√(5 + √21 ).
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( x + 1 /x ) = 5
We need to find root x + 1 / root x
(root x + 1 / root x )^2= (root 5)^2
= rootx + 1 / rootx + 2 = 5
=root x+ 1 / rootx = 5 – 2
Hence, root x + 1 / root x= 3.
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