if x=5+2√6 then find the value of √x+1/√x
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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
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
hruthik2222:
mark as brainlist if it is hlpful
i wanted to know that why we took 3+2 as (√3)2 + (√2)2
those 2 outside the bracket are for square
yeah they ra squares
why did we took them as squares
to get the solution & slove tht roots u I ll get same
ok thanks
anytym ya :)
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