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Grade 88 grade maths

Please help me solve this maths problem.
If k=8+60½
Then, k1/2+1/k1/2 = ?????

Profile image of Aaryan Panigrahi
9 Years agoGrade 8
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1 Answer

Profile image of Vikas TU
9 Years ago
Let k1/2+1/k1/2 = a
squaring both sides we get,
k + 1/k + 2 = a^2
k + 1/k = a^2 – 2
put k value,
(8 + 60^(1/2))    +  1/(8+60^(1/2)) + 2 = a^2
(8 + 2root(15)) + 1/(8 + 2root(15)) + 2 = a^2
8 + 2root(15) + (8 – 2root15)/4 + 2 = a^2
a^2 = 10 + 2root15 + 2 – (root(15))/2
a^2  = 12 + 1.5*root(15)
a = root(12 + 1.5*root(15))
 

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