Question

if x=4+√15
find (x+1/x)sq
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Answer 1

Here, the actual necessary details are clearly stated so of course there should be no immense fear to solve this question. Let us proceed the solution to this question step-by-step.

SOLUTION :

Given, x = 4 + √15

1/x = 4 - √15 (by calculation)

So, (x + 1/x)²

= (4 + √15 + 4 - √15)²

= (8)²

= 64

CALCULATION JUMPED :

$\frac{1}{x} = \frac{1(4 - \sqrt{15}) }{(4 + \sqrt{15})(4 - \sqrt{15}) }$ $= \frac{4 - \sqrt{15} }{1} = 4 - \sqrt{15}$