addition subtraction se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
15 questions tagged with addition subtraction.
What is the simplified form of \(4x^3+7x^3-5x^3\)?
A. \(6x^3\)
समान पदों के गुणांक (4+7-5=6) हैं। इसलिए सरल रूप \(6x^3\) है। / The coefficients of like terms are (4+7-5=6). Thus the simplified form is \(6x^3\).
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What is the simplified form of \(3x^2+5x^2-2x^2\)?
A. \(6x^2\)
समान पदों के गुणांक (3+5-2=6) होते हैं। इसलिए सरल रूप \(6x^2\) है। / The coefficients of like terms are (3+5-2=6). Thus the simplified form is \(6x^2\).
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What is the simplified form of \(\sqrt{27}+\sqrt{75}-\sqrt{12}\)?
A. \(6\sqrt{3}\)
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। इसलिए मान \(6\sqrt{3}\) है। / \(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Hence the value is \(6\sqrt{3}\).
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Which option is equal to \(\sqrt{50}-\sqrt{32}+\sqrt{2}\)?
A. \(2\sqrt{2}\)
\(\sqrt{50}=5\sqrt{2}\) और \(\sqrt{32}=4\sqrt{2}\), इसलिए मान \(2\sqrt{2}\) है। परीक्षा में चिन्हों को सावधानी से रखें। / \(\sqrt{50}=5\sqrt{2}\) and \(\sqrt{32}=4\sqrt{2}\), so the value is \(2\sqrt{2}\). In exams handle signs carefully.
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Which option is the simplified form of \(\sqrt{243}+\sqrt{147}-\sqrt{75}\)?
A. \(11\sqrt{3}\)
\(\sqrt{243}=9\sqrt{3}\), \(\sqrt{147}=7\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\) है। परिणाम \(11\sqrt{3}\) है। / \(\sqrt{243}=9\sqrt{3}\), \(\sqrt{147}=7\sqrt{3}\), and \(\sqrt{75}=5\sqrt{3}\). The result is \(11\sqrt{3}\).
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Which option is the simplified form of \(\sqrt{242}+\sqrt{128}-\sqrt{72}\)?
A. \(13\sqrt{2}\)
\(\sqrt{242}=11\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\) और \(\sqrt{72}=6\sqrt{2}\) है। परिणाम \(13\sqrt{2}\) है। / \(\sqrt{242}=11\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{72}=6\sqrt{2}\). The result is \(13\sqrt{2}\).
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Which option is the simplified form of \(\sqrt{27}+\sqrt{75}-\sqrt{12}\)?
A. \(6\sqrt{3}\)
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। परिणाम \(6\sqrt{3}\) है। / \(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(6\sqrt{3}\).
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Which option is the simplified form of \(\sqrt{75}+\sqrt{108}-\sqrt{48}\)?
A. \(5\sqrt{3}\)
\(\sqrt{75}=5\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\) और \(\sqrt{48}=4\sqrt{3}\) है। परिणाम \(7\sqrt{3}\) नहीं बल्कि \(5+6-4=7\sqrt{3}\) होगा। / \(\sqrt{75}=5\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{48}=4\sqrt{3}\). The result is \(7\sqrt{3}\), so check option values carefully.
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Which option is the simplified form of \(\sqrt{72}+\sqrt{128}-\sqrt{50}\)?
A. \(9\sqrt{2}\)
\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\) है। परिणाम \(9\sqrt{2}\) है। / \(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{50}=5\sqrt{2}\). The result is \(9\sqrt{2}\).
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Which option is the simplified form of \(\sqrt{48}+\sqrt{108}-\sqrt{12}\)?
A. \(8\sqrt{3}\)
\(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। परिणाम \(8\sqrt{3}\) है। / \(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(8\sqrt{3}\).
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Which option is the simplified form of \(\sqrt{50}+\sqrt{72}-\sqrt{32}\)?
A. \(7\sqrt{2}\)
\(\sqrt{50}=5\sqrt{2}\), \(\sqrt{72}=6\sqrt{2}\) और \(\sqrt{32}=4\sqrt{2}\) है। परिणाम \(7\sqrt{2}\) है। / \(\sqrt{50}=5\sqrt{2}\), \(\sqrt{72}=6\sqrt{2}\), and \(\sqrt{32}=4\sqrt{2}\). The result is \(7\sqrt{2}\).
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Which option is the simplified form of \(\sqrt{12}+\sqrt{75}-\sqrt{27}\)?
A. \(4\sqrt{3}\)
\(\sqrt{12}=2\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{27}=3\sqrt{3}\) है। परिणाम \(4\sqrt{3}\) है। / \(\sqrt{12}=2\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{27}=3\sqrt{3}\). The result is \(4\sqrt{3}\).
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Which option correctly describes \(\sqrt{32}+\sqrt{50}-\sqrt{18}\)?
A. यह \(6\sqrt{2}\) है और अपरिमेय हैIt is \(6\sqrt{2}\) and irrational
\(\sqrt{32}=4\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\) और \(\sqrt{18}=3\sqrt{2}\)। / \(\sqrt{32}=4\sqrt{2}\), \(\sqrt{50}=5\sqrt{2}\), and \(\sqrt{18}=3\sqrt{2}\).
परिणाम \(6\sqrt{2}\) है जो अपरिमेय है। / The result is \(6\sqrt{2}\) which is irrational.
समान मूल वाले पदों के गुणांक जोड़ें और घटाएं। / Add and subtract coefficients of like radicals.
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Which option is the correct simplified form of \(\sqrt{80}-\sqrt{45}+\sqrt{20}\)?
B. \(3\sqrt{5}\)
\(\sqrt{80}=4\sqrt{5}\), \(\sqrt{45}=3\sqrt{5}\), और \(\sqrt{20}=2\sqrt{5}\)। / \(\sqrt{80}=4\sqrt{5}\), \(\sqrt{45}=3\sqrt{5}\), and \(\sqrt{20}=2\sqrt{5}\).
\(4\sqrt{5}-3\sqrt{5}+2\sqrt{5}=3\sqrt{5}\), जो अपरिमेय है। / \(4\sqrt{5}-3\sqrt{5}+2\sqrt{5}=3\sqrt{5}\), which is irrational.
तीन पदों में चिह्नों को ध्यान से संभालें। / Handle the signs carefully when three terms are involved.
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Which option is the correct simplified form of \(\sqrt{5}+\sqrt{45}-\sqrt{20}\)?
A. \(2\sqrt{5}\)
\(\sqrt{45}=3\sqrt{5}\) और \(\sqrt{20}=2\sqrt{5}\)। / \(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{20}=2\sqrt{5}\).
\(\sqrt{5}+3\sqrt{5}-2\sqrt{5}=2\sqrt{5}\)। / \(\sqrt{5}+3\sqrt{5}-2\sqrt{5}=2\sqrt{5}\).
कई मूलों वाले प्रश्न में पहले सभी पदों को समान मूल में बदलें। / In questions with many radicals, first convert all terms to like surds when possible.
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