Which option gives the correct form and type of (\sqrt{2}+\frac{1}{\sqrt{2}})?कौन सा विकल्प (\sqrt{2}+\frac{1}{\sqrt{2}}) का सही रूप और प्रकार देता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{3\sqrt{2}}{2}) and irrational(\frac{3\sqrt{2}}{2}) और अपरिमेय
Step 1: (\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}). Step 2: (\sqrt{2}+\frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{2}) which is irrational. Step 3: Rationalize the denominator before combining terms.चरण 1: (\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2})। चरण 2: (\sqrt{2}+\frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{2}) जो अपरिमेय है। चरण 3: जोड़ने से पहले हर को परिमेय बनाने की आदत रखें।
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