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

Rahul Jiji George , 10 Years ago
Grade 10
anser 3 Answers
SHAIK AASIF AHAMED

Last Activity: 10 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

Yugabrat Gogoi

Last Activity: 10 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

Yugabrat Gogoi

Last Activity: 10 Years ago

the approx value is2.449489743.

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