Indices is the plural of index. In mathematics, the index most commonly refers to the exponent or a degree of an nth root.
No. It is 12Here is why:The geometric mean of 3 and 48 is the square root of 3x38=144So it is the square root of 144 which is 12.In general, the geometric mean of the numbers a1 a2 ....an is the nth root of the product of the ai from i=1 to i=n
123456789 * * * * * The nth term is 3n
11
Any number can be the nth term of a suitable AP.
You seem to be unaware of the fact that you can obtain the answer easily by using the scientific calculator that comes as part of your computer. In general the nth root is extremely difficult to find.
The radical symbol, otherwise known as the "square root sign", lets you take the nth root of any number.Any number can be placed above, and slightly to the left, of the square root sign, to indicate the nth root. For example, the cube root of 27 is 3.The number inside the square root sign (that which you are finding the square root of), is called the radicand.
yes the nth root of zero is always zero
Assuming that you mean the nth. root: two - a negative and a positive root.
You can't prove this proposition because it isn't true.Proof: the fifth root of 1024 is 4, and 4 is not irrational.It is true that, when N is an integer greater than 1, the Nth root of any integer greater than 1 is either an integer orirrational, but that's a different matter.
The geometric mean is the nth root of the product of the numbers. So this means (pun intended) multiply the numbers together and then take their nth root. Let's look at 2, 4, and 8 . Their product is 64 and the cube ( 3rd) root of 64 is 4. Of course, most of the time, the answer will not be rational.
The nth root of a number is that number which when raised to the nth power (ie when multiplied by itself n times) results in the number. When n=2, it is the square root of the number; when n=3 it is the cube root of the number. To find the nth root of a number, an electronic calculator can be used, using the nth root button [x√y] (though more recent calculators replace the x and y by boxes) viz: <n> [x√y] [2] [4] [4] [=] or with the more recent calculators: [#√#] <n> [Navigate →] [2] [4] [4] [=] where <n> is the nth root, eg for 2nd root (square roots) enter [2]; and the # is being used to represent a box on the keys of the more recent calculator. Considering the rules for indices, the nth root is the the number to the power of 1/n, ie 244^(1/n), thus the calculation can be done using the power button: [2] [4] [4] [^] [(] [1] [÷] <n> [)] [=] With the more recent calculators, the power button is pressed first, the 244 entered, the navigate-right key pressed (to get in to the power part of the input) and then the n entered.
The nth root of x2 can be expressed as: x2/n Thinking of it that way, we can see that no, it can't always exist - but almost always. The only condition in which it can't exist is when n = 0, as that would give us division by zero.
What does this question mean? -60 has a real cube root, a real fifth root. In fact a real nth root for all odd n.
only the number 1 (one)because it is perfect nth root .
Root of a number x is the new number y, which can be calculated as y = ( x ) 1/n where n is the root number i.e. nth root of x is y.
Remember that the geometric mean is the he nth root of the product of n numbers. Since you have two numbers it will be the square root of their product. In this case that is square root of ( 4x18)=square root of (72) which is about 8.485