Question
Download Solution PDF9 + \(2\sqrt{14}\) चे वर्गमूळ किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
9 + \(2√{14}\) चे वर्गमूळ
वापरलेली संकल्पना:
(a + b)2 = a2 + b2 + 2ab
गणना:
आमच्याकडे आहे,
⇒ 9 + \(2√{14}\)
⇒ 2 + 7 + 2√(2 × 7)
⇒ (√2)2 + (√7)2 + 2 × √2 × √7
आता वरील संकल्पनेनुसार,
⇒ (√2 + √7)2
∴ अपेक्षित वर्गमूळ आहे √2 + √7.
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