aa√a = (a√a)a হলে, a এর মান কত?
Solution
Correct Answer: Option D
aa√a = (a√a)a
⇒ aa√a = (a1 ⋅ a1/2)a
⇒ aa√a = {a1 + (1/2)}a
⇒ aa√a = {a3/2}a
⇒ (aa)√a = (aa)3/2
⇒ √a = 3/2
⇒ (√a)2 = (3/2)2
∴ a = 9/4
⇒ aa√a = (a1 ⋅ a1/2)a
⇒ aa√a = {a1 + (1/2)}a
⇒ aa√a = {a3/2}a
⇒ (aa)√a = (aa)3/2
⇒ √a = 3/2
⇒ (√a)2 = (3/2)2
∴ a = 9/4
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