Here are a few examples:
When you know the area of a square and want its side length.
When you know the volume of a cube and want its side length.
When you know the area of a circle and want its radius or diameter.
When you know the volume of a sphere and want its radius or diameter.
When you know the fixed [compound] interest rate for some investment and want to know how long it will take to double, treble or grow to some fixed amount.
When you know the half-life of some radioactive substance and want to know how long it will take before the quantity remaining has dropped to a specified level - possibly below a safety threshold.
If your calculator has an exponentiation function, simply raise the number to the power of .5 Remember this trick: the nth root of X = X ^ (1/n)
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.
Assuming that you mean the nth. root: two - a negative and a positive root.
The nth triangulat number is n*(n+1)/2 The 100th is 100*101/2 = 5050
The nth even number is 2n...
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.
If your calculator has an exponentiation function, simply raise the number to the power of .5 Remember this trick: the nth root of X = X ^ (1/n)
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.
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.
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.
Assuming that you mean the nth. root: two - a negative and a positive root.
The nth root is unstoppable. You must sit back and wait. Hopefully you will survive it as it takes its deadly course.
The nth triangular number is n(n+1)/2
The nth root of a number is a number such that if you multiply it by itself (n-1) times you get the number. Or if you multiply 1 by it n times. Many definitions get this wrong due to sloppy use of the language.So if y^n = x then the nth root of x is y.x^(a/b) is the bth root of x^a or, equivalently, it is (bth root of x)^a. If mental calculation is required then the second form is easier to use because it means you are dealing with smaller number. For example, 16^(3/4) can be calculated as (4th root of 16)^3 = 2^3 = 8. Not too difficult. But the alternative method would be to calculate the 4th root of 16^3 = the fourth root of 4096. Not something most people would wish to tackle.A negative root is simply the reciprocal. Thus x^(-a) is simply 1/(x^a).
To find the ARITHMETIC mean of 4 and 10, you add them up and then divide by n number of values: (4+10)/2 = 7 To find the GEOMETRIC mean, you multiply 4 and 10, and then find the nth root: the square root of 40 is 6.32 (to 3 significant figures).
The nth triangulat number is n*(n+1)/2 The 100th is 100*101/2 = 5050