The largest number among 212- 313- and 414 is

The correct option is A 3^13 The value of #160; 2^1/2=0.414 Value of 3^1/3=1.43 Value of 4^1/4=0.414 Largest is 3^1/3 ...

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Division of a Polynomial by a Polynomial

The largest n...

Question

The largest number among $2^{\frac{1}{2}}$ , $3^{\frac{1}{3}}$ , and $4^{\frac{1}{4}}$ is

2^{\frac{1}{2}}

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3^{\frac{1}{3}}

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4^{\frac{1}{4}}

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all are equal

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Solution

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Prove that:
$4^{\frac{1}{3}} \times [2^{\frac{1}{3}} \times 3^{\frac{1}{2}}] \div 9^{\frac{1}{4}} = 2$ .

4^{\frac{1}{3}} \times [2^{\frac{1}{3}} \times 3^{\frac{1}{2}}] \div 9^{\frac{1}{4}}

1 \frac{1}{3} + 2 \frac{1}{4} + 3 \frac{1}{6} + 4 \frac{1}{12} + . . . + 19 \frac{2}{3}

1 + \frac{1}{2} (1 + 2) + \frac{1}{3} (1 + 2 + 3) + \frac{1}{4} (1 + 2 + 3 + 4) + . . . . .

20

\frac{3}{1 \cdot 2} (\frac{1}{2}) + \frac{4}{2 \cdot 3} {(\frac{1}{2})}^{2} + \frac{5}{3 \cdot 4} {(\frac{1}{2})}^{3} + \dots

20

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