If x = (
) x (<»? then find the value of 2x + 1
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Answer:
E=≈3.098076211
Step-by-step explanation:
If x=2+√3, then find the value of √(2x)+1/√(2x)?
E=2x−−√+12x√=2x√1+12x√
Now, let’s put both parts of the expression over the same denominator.
E=2x−−√2x√2x√+12x√=2x2x√+12x√=2x+12x√
We’ll now replace x by 2+3–√
E=5+23√4+23√√
Now, to replace the nasty denominator with something much nicer; we’ll do this by multiplying the denominator and numerator by 4−23–√−−−−−−−√ .
E=5+23√4+23√√×4−23√√4−23√√=(5+23√)4+23√√×4+23√√4−23√√
=(5+23√)(4+23√√)(4+23√√)(4−23√√)=(5+23√)(4−23√√)16−12√
=(5+23√)(4−23√√)2=5+23√24−23–√−−−−−−−√
=5+23√2(3–√−1)=1+33√2
Evaluating this, we have:
E=≈3.098076211
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this right answer really
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