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Re: If M = 4^(1/2) + 4^(1/3) + 4^(1/4), then the value of M is:
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14 Jan 2023, 23:03
Given that \(M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}\) and we need to find the value of M
\(M=\sqrt{4}+\sqrt[3]{4}+\sqrt[4]{4}\)
=> M = 2 + \(\sqrt[3]{4} + 2^(2/4)\) = 2 + \(\sqrt[3]{4} + \sqrt[2]{2}\)
Now, \(\sqrt[3]{4}\) will be between 1 and 2 as \(1^3\) = 1 and \(2^3\) = 8
\(\sqrt[2]{2}\) = 1.414
=> M = 2 + 1.414 + number between 1 and 2
=> M > 2 + 1.414 + 1
=> M > 4.414
So, Answer will be E
Hope it helps!