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let a=3- sqrt n, where n is natural number. if `p` is the least positive value of `a` then the value of sqrt p + 1/sqrt p

let a=3- sqrt n, where n is natural number. if `p` is the least positive value of `a` then the value of sqrt p + 1/sqrt p

Grade:12th pass

3 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
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abc singhania
13 Points
3 years ago
Above given answer is wrong answer is 2root2 . as minimum positive value of will be when n is 8 . so a = 3 - root 8
so p is also 3 – root 8 . so root p = root of 3-root8 and 1/rootp = 1/root(3-root8) and then you can solve it by rationalising …............ and final answer will be 2root2.
KNMS 8B Anusha Merlin Dennis Kumar
26 Points
one year ago

least possible value of √n = 2

Since natural numbers are all positive integers so for least possible value of

n = 4

p = 3 - √4 = 3 - 2

p = 1

 

Step 2

Plug value p in expression √(p + 1) / √ p

√(p + 1) / √ p

√(1+1) / √1

√2/√1

√2

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