Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 1 : $1$ / $1$
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Detailed Solution
सही उत्तर $1$ / $1$ है।
Key Points
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prepsnap.in • Part -AQuestion:
Evaluate: $\frac{1}{1+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + \frac{1}{\sqrt{3}+\sqrt{4}}$ / मान ज्ञात कीजिए: $\frac{1}{1+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + \frac{1}{\sqrt{3}+\sqrt{4}}$
1.
$1$ / $1$
2.
$0$ / $0$
3.
$2$ / $2$
4.
$\sqrt{3}$ / $\sqrt{3}$
Correct Answer: $1$ / $1$
Rationalising each term: $(\sqrt{2}-1) + (\sqrt{3}-\sqrt{2}) + (2-\sqrt{3}) = 1$. / प्रत्येक पद का परिमेयकरण करने पर: $(\sqrt{2}-1) + (\sqrt{3}-\sqrt{2}) + (2-\sqrt{3}) = 1$।
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