कौन-सा विकल्प \(\frac{1}{\sqrt{5}+\sqrt{2}}\) का परिमेय हर वाला रूप है?
Which option is the rationalized form of \(\frac{1}{\sqrt{5}+\sqrt{2}}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{\sqrt{5}-\sqrt{2}}{3}\)
Step 1
Concept
The conjugate of the denominator is \(\sqrt{5}-\sqrt{2}\).
Step 2
Why this answer is correct
The denominator becomes (5-2=3), so the form is \(\frac{\sqrt{5}-\sqrt{2}}{3}\).
Step 3
Exam Tip
For a sum of two surds, the conjugate changes the sign between them. चरण 1: हर का संयुग्मी \(\sqrt{5}-\sqrt{2}\) है। चरण 2: हर (5-2=3) बनता है, इसलिए रूप \(\frac{\sqrt{5}-\sqrt{2}}{3}\) है। चरण 3: दो मूलों के योग में संयुग्मी का चिह्न बदलता है।
