Question
Download Solution PDF\(8 + 4\sqrt 2 \) మరియు \(6 - 3\sqrt 2 \) మధ్య సగటు నిష్పత్తి:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
రెండు పదాలు 8 + 4√2 మరియు 6 - 3√2
వివరణ:
నిష్పత్తి యొక్క అనుపాత రూపంలో వ్యక్తపరిచినప్పుడు రెండు సంఖ్యల (a & b) లబ్ధం యొక్క వర్గమూలం.
ఉదాహరణకు: a/x : x/b
గణన:
'x' సగటు అనుపాతం విలువగా ఉండనివ్వండి.
(8 + 4√2)/x : x/(6 - 3√2)
⇒ x2 = (8 + 4√2) × (6 - 3√2)
⇒ x2 = 48 - 24√2 + 24√2 - 24
⇒ x2 = 24
⇒ x = 2√6
∴ సగటు అనుపాతం విలువ 2√6
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