Question
Download Solution PDF\(8 + 4\sqrt 2 \) மற்றும் \(6 - 3\sqrt 2 \) இடையேயான சராசரி விகிதாசாரம் என்ன ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
இரண்டு எண்கள் 8 + 4√2 மற்றும் 6 - 3√2
விளக்கம்:
ஒரு விகிதாசாரத்தின் வழிமுறையாக வெளிப்படுத்தப்படும் போது இரண்டு எண்களின் (a & b) பெருக்கத்தின் வர்க்கமூலம்.
உதாரணமாக: a/x: x/b
கணக்கீடு:
'x' என்பது சராசரி விகிதாசார மதிப்பாக இருக்கட்டும்.
(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
∴ சராசரி விகிதாசார மதிப்பு 2√6
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