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[24+ 5(23)^1/2)]^1/2 + [24- 5(23)^1/2)]^1/2 lies between:

$
0
0
\sqrt{24+5\sqrt{23}} +\sqrt{24-5\sqrt{23}} lies between:

(A) 4&5
(B) 5&6
(C) 6&7
(D) 7&8
(E) 8&9

On the face the problem looks very easy but I can't get the answer. Please help! Somewhere OA is correct, I think if OA is correct there is certainly some defect in question itself. Still, I want others' opinion. Thanks.

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