कौन-सा विकल्प \(\sqrt{2}+\sqrt{18}-\sqrt{50}+\sqrt{98}\) का सही सरल रूप है?
Which option is the correct simplified form of \(\sqrt{2}+\sqrt{18}-\sqrt{50}+\sqrt{98}\)?
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{2}\)
Concept
\(\sqrt{18}=3\sqrt{2}\), \(\sqrt{50}=5\sqrt{2}\), and \(\sqrt{98}=7\sqrt{2}\).
Why this answer is correct
\(1\sqrt{2}+3\sqrt{2}-5\sqrt{2}+7\sqrt{2}=6\sqrt{2}\).
Exam Tip
In long surd expressions, write the coefficients separately and add them. चरण 1: \(\sqrt{18}=3\sqrt{2}\), \(\sqrt{50}=5\sqrt{2}\), और \(\sqrt{98}=7\sqrt{2}\)। चरण 2: \(1\sqrt{2}+3\sqrt{2}-5\sqrt{2}+7\sqrt{2}=6\sqrt{2}\)। चरण 3: लंबे मूल वाले प्रश्न में गुणांक अलग लिखकर जोड़ना आसान रहता है।
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