Question
Download Solution PDFIf \(\sqrt{(a)^b}=a^2+5b\), then possible value of a & b will be _____.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If √((a))b = a2 + 5b
Formula used:
√((a))b = a2 + 5b
Calculations:
We will solve this question using the options.
Option 1): When, a = 3 and b = 4
Putting the values in \(√{(a)^b}=a^2+5b\), we get
√(3)4 ≠ (32 + 5×4)
9 ≠ 29. So, Option 1) is not correct.
Option 2): When a = 4 and b = 18
√(4)18 ≠ (16 + 90)
262144 ≠ 106. So, Option 2) is not correct.
Option 3): When a = 2 and b = 12
√(2)12 = (4 + 60)
64 = 64. So, Option 3) is correct.
∴ The correct answer is Option 3).
Last updated on Mar 21, 2025
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