Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 3 : $3$ / $3$

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Detailed Solution

सही उत्तर $3$ / $3$ है।

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Question:

Find the value of $\\sqrt{6 + \\sqrt{6 + \\sqrt{6 + \\cdots}}}$. / $\\sqrt{6 + \\sqrt{6 + \\sqrt{6 + \\cdots}}}$ का मान ज्ञात कीजिए।

1.
$2$ / $2$
2.
$2.5$ / $2.5$
3.
$3$ / $3$
4.
$6$ / $6$

Correct Answer: $3$ / $3$

Let the value be $x$; then $x^2 = 6 + x$, giving $(x-3)(x+2) = 0$, so $x = 3$. / मान $x$ मानिए; तब $x^2 = 6 + x$, अर्थात् $(x-3)(x+2) = 0$, अतः $x = 3$।

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