यदि \(x=\frac{2}{\sqrt{3}+1}\), तो (x) किसके बराबर है?
If \(x=\frac{2}{\sqrt{3}+1}\), what is (x) equal to?
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{3}-1\)
Concept
(\frac{2}{\sqrt{3}+1}\times\frac{\sqrt{3}-1}{\sqrt{3}-1}=\frac{2\(\sqrt{3}-1\)}{2}=\sqrt{3}-1). The conjugate makes the denominator rational.
Why this answer is correct
The correct answer is A. \(\sqrt{3}-1\). (\frac{2}{\sqrt{3}+1}\times\frac{\sqrt{3}-1}{\sqrt{3}-1}=\frac{2\(\sqrt{3}-1\)}{2}=\sqrt{3}-1). The conjugate makes the denominator rational.
Exam Tip
(\frac{2}{\sqrt{3}+1}\times\frac{\sqrt{3}-1}{\sqrt{3}-1}=\frac{2\(\sqrt{3}-1\)}{2}=\sqrt{3}-1) है। परीक्षा में संयुग्मी से हर परिमेय बनता है।
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