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If (x=\sqrt{7}+\sqrt{28}), what is the correct simplified form and type of (x)?यदि (x=\sqrt{7}+\sqrt{28}) है तो (x) का सही सरल रूप और प्रकार क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3\sqrt{7}) and irrational(3\sqrt{7}) और अपरिमेय
Step 1: Since (28=4\cdot 7), (\sqrt{28}=2\sqrt{7}). Step 2: Now (\sqrt{7}+2\sqrt{7}=3\sqrt{7}), and (\sqrt{7}) is irrational. Step 3: In exams, combine like radicals by adding their coefficients.चरण 1: (28=4\cdot 7) इसलिए (\sqrt{28}=2\sqrt{7})। चरण 2: अब (\sqrt{7}+2\sqrt{7}=3\sqrt{7}) और (\sqrt{7}) अपरिमेय है। चरण 3: परीक्षा में समान वर्गमूल वाले पदों को गुणांक जोड़कर सरल करें।
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