Question
Download Solution PDFIf (3 + 2√5)2 = 29 + K√5, then what is the value of K?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMethod I: (3 + 2√5)2
= (32 + (2√5)2 + 2 × 3 × 2√5)
= 9 + 20 + 12√5 = 29 + 12√5
On comparing, 29 + 12√5 = 29 + K√5
we get,
K = 12
Alternate Method
29 + 12√5 = 29 + K√5
⇒ K√5 = 29 - 29 + 12√5
⇒ K√5 = 12√5
∴ K = 12
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