You can do this on any scientific calculator (raise 82 to the power (1/4)). To do it without such a function, for instance, with pencil and paper, is a lot of work; one method is as follows:
4th. root means you want a number that, when raised to the fourth power, gives 82. Therefore, you can try different numbers, raising them to the 4th. power, until you get close enough.
If you have a calculator that only does square roots, you can also take the square root of 82, and then take the square root of the result.
2
The square root of 82 cannot be reduced as a surd.
a fourth root of 0.04
2
The fourth root of 36 = ± 2.44949
2
The square root of 82 is about 9.06
The square root of 82 cannot be reduced as a surd.
a fourth root of 0.04
82. 82 x 82 = 6724.
The fourth root of 869,841,269.84 is: 171.73547
The fourth root of 54 is ± 2.710806
The fourth root of 56 = ± 2.735565
Fourth root of 59 = ± 2.771488
9 and 10.
Negative fourth root of a number= 1/the fourth root of the number. Fourth root of 625= 5 (5*5*5*5) 1/5
The square root is 6, so the fourth root is the square root of 6, or about 2.45. ■