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.
To find the fourth root of a number, you can raise the number to the power of ( \frac{1}{4} ). For example, for a number ( x ), the fourth root can be calculated as ( x^{0.25} ) or using a calculator's root function. Alternatively, you can also find the fourth root by calculating the square root of the square root of the number. For instance, ( \sqrt{\sqrt{x}} ) will yield the fourth root of ( x ).
The square root of 82 cannot be reduced as a surd.
a fourth root of 0.04
The fourth root of 36 = ± 2.44949
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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 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. ■
The fourth root of 36 = ± 2.44949
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