How do i get the approximation of the cube root of 31? without using a calculator

Sorry, but the fx-115ES can only display square roots in radical form. Cube roots are beyond its symbolic capabilities and will always be in decimal form.

If you mean 6 plus cube root of 2 then press
6 + 2 2nd [cube-root] =

The cube root is the shifted function of the 0 key.

If you mean 6 plus cube root of 2 then press
6 + 2 2nd [cube-root] =

The cube root is the shifted function of the 0 key.

For cube roots, use the cube-root function in the MATH menu. For example, to calculate the cube root of 8, press MATH 4 8 =

For other roots (including cube root), use the xth-root function in the MATH menu. For example, to calculate the fifth root of 32, press 5 MATH 4 3 2 =

There's a cube root function as the fourth item in the MATH menu. The fifth item is a general root function.

For example, to calculate the cube root of 8, press MATH 4 8 ENTER

You can calculate cube roots by using the cube root function (the 2nd-shift of the 0 key). You can calculate arbitrary roots by using the x-root function (the 2nd-shift of the y^x key, just above the divide key).

Hello,
What we call roots: square, cube ,fourth roots, etc. can be shown in algebra to be equiavlent to powers with fractionary exponents where numerator is 1 and denomonator an integer.
square root of a = a to the power 1/2
cube root of a = a to the power 1/3
n-th root of a = a raised to the power 1/n, n integer different from 0.

How to use calculator to calculate cube root?
If you do not have a specific (shortcut) key for it you use the key to raise to an arbitrary power [^ ], sometimes shown as [x^y]. The exponent will be 1/3. Do not replace 1/3 by its decimal approximate.

Cube root of 27 is entered as 27 [^ ] (1/3)

Hope it helps.

To find the cubed root (or any root) of a number, use the root() function.

If you want the cubed root of 125, you would type:

root(125,3)

You use the y^x (y to the x) key along with the 2nd function key. That does the opposite operation.

So, let's pick something we know the answer to as an example. How about the cube root of 8? We know 8 = 2 X 2 X 2, so the cube root of 8 will be 2.

Here's how:

8 2nd y^x 3 =

The display will show 2.

The three is the root you want. You can put in any number, with 2 being the square root, 3 the cube root, etc.

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.