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Which option gives the correct simplified form and nature of (\sqrt{32}-\sqrt{2})?कौन-सा विकल्प (\sqrt{32}-\sqrt{2}) का सही सरल रूप और प्रकृति बताता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3\sqrt{2}), irrational(3\sqrt{2}), अपरिमेय
Step 1: (\sqrt{32}=4\sqrt{2}). Step 2: (\sqrt{32}-\sqrt{2}=4\sqrt{2}-\sqrt{2}=3\sqrt{2}), which is irrational. Step 3: For like surds, subtract only the coefficients.चरण 1: (\sqrt{32}=4\sqrt{2}) है। चरण 2: (\sqrt{32}-\sqrt{2}=4\sqrt{2}-\sqrt{2}=3\sqrt{2}), जो अपरिमेय है। चरण 3: समान मूल वाले पदों में केवल गुणांक घटाएँ।
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