which is smaller no?
cube root 4,cube root 8,4root6 or 4root5
Answers
Answered by
1
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:)
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:)
Answered by
5
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](https://tex.z-dn.net/?f=+%28%5Csqrt%5B3%5D%7B4%7D%29%5E%7B12%7D+%3D4%5E%7B+%5Cfrac%7B12%7D%7B3%7D+%7D%3D4%5E4%3D256%5C%5C+%5C%5C+%28%5Csqrt%5B3%5D%7B8%7D%29%5E%7B12%7D+%3D8%5E%7B+%5Cfrac%7B12%7D%7B3%7D+%7D%3D8%5E4%3D4096%5C%5C+%5C%5C++%28%5Csqrt%5B4%5D%7B6%7D%29%5E%7B12%7D+%3D6%5E%7B+%5Cfrac%7B12%7D%7B4%7D+%7D%3D6%5E3%3D216%5C%5C+%5C%5C++%28%5Csqrt%5B4%5D%7B5%7D%29%5E%7B12%7D+%3D5%5E%7B+%5Cfrac%7B12%7D%7B4%7D+%7D%3D5%5E3%3D125 "(\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}](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B5%7D+ "\sqrt[4]{5}")
is the smallest.
LCM of 3 and 4 = 3×4 = 12
find the 12th power of all the numbers given
The smallest of all is 125. So
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