यदि \(x=\frac{1}{\sqrt{5}-2}\), तो (x) का सरल रूप क्या है?
If \(x=\frac{1}{\sqrt{5}-2}\), what is the simplified form of (x)?
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{5}+2\)
Concept
\(\frac{1}{\sqrt{5}-2}\times\frac{\sqrt{5}+2}{\sqrt{5}+2}=\frac{\sqrt{5}+2}{5-4}=\sqrt{5}+2\). Rationalise the denominator in exams.
Why this answer is correct
The correct answer is A. \(\sqrt{5}+2\). \(\frac{1}{\sqrt{5}-2}\times\frac{\sqrt{5}+2}{\sqrt{5}+2}=\frac{\sqrt{5}+2}{5-4}=\sqrt{5}+2\). Rationalise the denominator in exams.
Exam Tip
\(\frac{1}{\sqrt{5}-2}\times\frac{\sqrt{5}+2}{\sqrt{5}+2}=\frac{\sqrt{5}+2}{5-4}=\sqrt{5}+2\) है। परीक्षा में हर का परिमेयकरण करें।
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