Question
Download Solution PDFहल कीजिए:
\((\sqrt{12.96} + \sqrt{3.24} \times \sqrt{29.16} \div \sqrt{3.24}) + (\sqrt{12.96} + \sqrt{3.24} \times \sqrt{12.96} \div \sqrt{3.2 4}) = ?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
हल करने के लिए व्यंजक: (√12.96 ÷ √3.24 × √29.16 ÷ √3.24) + (√12.96 ÷ √3.24 × √12.96 ÷ √3.24)
प्रयुक्त सूत्र:
वर्गमूल के लिए: √a × √b = √(a × b)
भाग के लिए: √a ÷ √b = √(a ÷ b)
गणना:
सबसे पहले, प्रत्येक संख्या का वर्गमूल ज्ञात करते हैं:
⇒ √12.96 = 3.6
⇒ √3.24 = 1.8
⇒ √29.16 = 5.4
अब, इन मानों को व्यंजक में प्रतिस्थापित करते हैं:
(√12.96 ÷ √3.24 × √29.16 ÷ √3.24) + (√12.96 ÷ √3.24 × √12.96 ÷ √3.24)
⇒ (3.6 ÷ 1.8 × 5.4 ÷ 1.8) + (3.6 ÷ 1.8 × 3.6 ÷ 1.8)
⇒ (2 × 5.4 ÷ 1.8) + (2 × 3.6 ÷ 1.8)
⇒ (2 × 3) + (2 × 2)
⇒ 6 + 4 = 10
व्यंजक का मान 10 है।
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