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2015-03-24T13:48:56+05:30

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The smallest no. is fourth root of 5 = 1.495;
Then comes fourth root of 6 = 1.565;
Then comes cube root of 4 = 1.587;
Then comes cube root of 8 = 2.

Hope i helped u:)
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2015-03-24T14:48:28+05:30

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We have to compare the third and fourth root of some numbers.
LCM of 3 and 4 = 3×4 = 12

find the 12th power of all the numbers given
 (\sqrt[3]{4})^{12} =4^{ \frac{12}{3} }=4^4=256\\ \\ (\sqrt[3]{8})^{12} =8^{ \frac{12}{3} }=8^4=4096\\ \\  (\sqrt[4]{6})^{12} =6^{ \frac{12}{4} }=6^3=216\\ \\  (\sqrt[4]{5})^{12} =5^{ \frac{12}{4} }=5^3=125

The smallest of all is 125. So  \sqrt[4]{5} is the smallest.
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