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The fourth square root is the 16th root of a number. On a computer, to find the 16th root of a number, say 5.6, enter 5.6^(1/16). If the number you start with is positive, you will have 2 real roots (one positive and one negative) and 14 complex roots. If it is negative, you will have 16 complex roots.
Take the square root of the square root of the number (that is the fourth root of the number), for example: √√16 = √(√16) = √4 = 2 24 = 16 ⇒ 2 is the fourth root of 16.
To find the number that, when multiplied by itself 4 times, equals 256, you need to find the fourth root of 256. The fourth root is the number that, when multiplied by itself four times, gives you 256. In this case, the fourth root of 256 is 4, because 4 x 4 x 4 x 4 equals 256. Therefore, the number you are looking for is 4.
Fourth roots are the inverse operation of raising a number to the fourth power. For a given number, the fourth root is a number that, when raised to the fourth power, equals the original number. For example, the fourth root of 16 is 2, since 2^4 = 16. In mathematical notation, the fourth root of a number x is denoted as √√x or x^(1/4).
To find the fourth root of 512, you can raise 512 to the power of 1/4. This is equivalent to finding the number that, when raised to the fourth power, equals 512. So, the fourth root of 512 is equal to 512^(1/4), which simplifies to 4. Therefore, the fourth root of 512 is 4.