Fractional exponents Taking a number to the power of 12 undoes taking a number to the power of 2 (or squaring it). In other words, taking a number to the power of 12 is the same thing as taking a square root: x1/2=√x.

The square root is actually a fractional index and is equivalent to raising a number to the power 1/2.

The square root of 324 is a number which, when multiplied by itself, results in 324. The number 324 is special because it is a perfect square root….Square root of 324.

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It is an irrational number if it is not a perfect square. Since 121 is a perfect square, it is rational number.

2 Answers By Expert Tutors The square root off 121 is eleven.

−45 is also a square root of 1625 , but by convention when we say the square root, we tend to mean the positive one.

625

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.

The number 20 is not a perfect number. This can be demonstrated by finding its proper divisors and showing that their sum is not equal to 20.

Three is the smallest number we need to create a pattern, the perfect combination of brevity and rhythm. It’s a principle captured neatly in the Latin phrase omne trium perfectum: everything that comes in threes is perfect, or, every set of three is complete.

Twelve is the smallest abundant number, since it is the smallest integer for which the sum of its proper divisors (1 + 2 + 3 + 4 + 6 = 16) is greater than itself. Twelve is a sublime number, a number that has a perfect number of divisors, and the sum of its divisors is also a perfect number.

A number is perfect if the sum of its proper factors is equal to the number. To find the proper factors of a number, write down all numbers that divide the number with the exception of the number itself. If the sum of the factors is equal to 18, then 18 is a perfect number.