यदि \(m=\frac{1}{\sqrt{5}+\sqrt{2}}\) है तो (m) का सरल रूप क्या है?
If \(m=\frac{1}{\sqrt{5}+\sqrt{2}}\), what is the simplified form of (m)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{\sqrt{5}-\sqrt{2}}{3}\)
Concept
Multiplying by the conjugate makes the denominator (5-2=3). So the rationalized form is \(\frac{\sqrt{5}-\sqrt{2}}{3}\).
Why this answer is correct
The correct answer is A. \(\frac{\sqrt{5}-\sqrt{2}}{3}\). Multiplying by the conjugate makes the denominator (5-2=3). So the rationalized form is \(\frac{\sqrt{5}-\sqrt{2}}{3}\).
Exam Tip
संयुग्मी से गुणा करने पर हर (5-2=3) हो जाता है। इसलिए परिमेय हर वाला रूप \(\frac{\sqrt{5}-\sqrt{2}}{3}\) है।
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