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If (3 + 2 5)2 = 29 + K 5 then...

This question belongs to Arithmetic Ability Algebra
Algebra
?

If (3 + 2√5)2 = 29 + K√5, then what is the value of K?

Answer & Solution
Correct Answer: Option A
(3 + 2√5)2 = 29 + K√5
⇒ 9 + 20 + 12√5 = 29 + K√5
⇒ 29 + 12√5 = 29 + K√5
⇒ K√5 = 12√5
⇒ K = 12
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