If limx→3(√2x+3−x√x+1−x+1)x−1−√x2−5x2−5x+6 can be – InterviewSolution

1.	If limx→3(√2x+3−x√x+1−x+1)x−1−√x2−5x2−5x+6 can be expressed in the form a√bc where a,b,c∈N, then the least value of a2+b2+c2 is
Answer» If $lim x \to 3 {(\frac{\sqrt{2 x + 3} - x}{\sqrt{x + 1} - x + 1})}^{\frac{x - 1 - \sqrt{x^{2} - 5}}{x^{2} - 5 x + 6}}$ can be expressed in the form $\frac{a \sqrt{b}}{c}$ where $a, b, c \in N,$ then the least value of $a^{2} + b^{2} + c^{2}$ is

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