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Grade 109 grade maths

if a= 2+31/2
find a1/2 +1/a1/2

Profile image of Rahul Jiji George
11 Years agoGrade 10
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3 Answers

Profile image of SHAIK AASIF AHAMED
ApprovedApproved Tutor Answer11 Years ago
Hello student,
Please find the answer to your question below
Given that a=2+\sqrt{3}
So\sqrt{a}+1/\sqrt{a}=(a+1)/\sqrt{a}=(3+\sqrt{3})/\sqrt{2+\sqrt{3}}
This value should be calculated directly and it cannot be reduced further
after calculating we get its value as 2.45
Profile image of Yugabrat Gogoi
11 Years ago
Please find your answer below.
 
According to me the answer should be as follows.
 
a1/2+ 1/a1/2
=(2+31/2)+1/(2+31/2)1/2
={ [underroot 2+(underroot3)]2+1}/underroot2+(underroot3)
=3+root3/underroot 2+(underroot3)
 
 
if there’s a mistake please tell me. regards from yugabrat gogoi
Profile image of Yugabrat Gogoi
11 Years ago
the approx value is2.449489743.