To work out the cube root of a number

Roots are called as follows:

square root

cube /cubic root

From 4th on, use the ordinal fifth, sixth, ... n-th

To calculate the fourth root you have two possibilities.

1. Some calculators have the x-root key marked with an x followed by the radical symbol. See the screen capture on how to find your result.
   
   
   
   
   
   
   
   Usually the x-root is the SHIFTED function of the general power key that is marked ( [^], [X^y], or [Y^x] ). To use it, you inter the index of the root (the ordinal number). then you press the [SHIFT/2nd/ 2nd] [X^y] sequence and the number whose root you are calculating).



2. Alternatively: Use the equivalence n-th Root (x)=x^(1/n), meaning that to extract the fourth root of 16, you raise 16 to the power of (1/4)

There are several ways to find the cube root of a number on a calculator. On this calculator, we can use the nth root button, by using the yellow shift button with the ^ key. Another way to do this is just to use the ^ key.

For example, the cube root of 8 is performed by the following key sequence: 8, shift, ^, 3.

Another sequence is: 8 ^ (1/3)

Good luck.

Paul

3.28 squared is 10.7584 .
10.7584 times 40 is 430.336 .
It appears your calculator is correct. I get the same result on multiple calculators, as well as by hand.

Let's work this backwards:
431.8 divided by 40 is 10.795 .
The square root of 10.795 is about 3.28557 .

Use the cube-root function, which is the shifted function of the square-root key (third row, second column). For example, to find the cube root of 8, press
SHIFT [cube-root] 8 =

You can use the root functions even in COMPLEX Mode, but you cannot feed the root functions a number that is complex.

The case you have given is easy enough to do by hand (see screen capture below.)

There is no cube root key on the fx-115ES. There is a general root function. It's the shifted function of the x^ key, just below and to the right of the big round key at the top of the keyboard, above the sin key. To find the cube root of 8:

In LineIO mode: press 3 SHIFT [root] 8 =

In MathIO mode: press SHIFT [root] 3 right-arrow 8 =

Two buttons under the shift key-(top left key) and to the right one is the square root key. Just push it and put the number in...it is not manditory to close the parentesis. You can also hit shift before the square root key to get the cubed root.

push 3
then push 2nd
then push the carot symbol ^ some calculators have this as y^x
then enter your number

If that fails use the calculator program in your computer and change its view to scientific. This has cube roots

Power 1/2 is the same as square root: You can use the square root key to the left of the square key.
Similarly power 1/3 is the cube root. You use the [SHIFT][Square root] key sequence.
Power 2/3 is the square of the cube root, or the cube root of the square.

More generally, you can use the universal power key, marked with X with a raised white rectangle. It is between X square and log.

Ex: Calculate 15^(2/3)
15 [X with raised rectangle] 2 [/] 3 [)] [=]; the result is 6.082
The last parenthesis closes the left parenthesis introduced by the calculator.
Alternatively you can use the cube root and the x-root selections available under the MATH menu.(selections 4 and 5)

There is a way to do it. I believe you go into "complex" or "math" buttons. These buttons are yellow on the calculator. Therefore, to access them you must hit "2nd" then the button.

Better yet, you can also get around this dilemma another way. You can enter "the cubed root of x" by raising x to 1/3.

For example the cubed root of x = x^(1/3). It is best to place parentheses around 1/3 so the calculator knows exactly what you mean.

Another example, the "cubed root of (x + 1)" can be entered by:
(x+1)^(1/3) Note the parenteses around both (x+1) and (1/3). This applies if the radical cover both "x" and "1".

Hope this helps.