When I type in a question using roots my calculator does not leave the answer in surd format. E.g. when you type in 2 x root 5..... the calculator used to give me the answer 2root5 (surd format) then I'd press S>D to get the decimal answer. Now when i do calculations in an exam and it says leave the answer in surd format I wont be able to do it.
I must of fiddled about with the settings and messed it up. I'm finding this really annoying, could someone help.
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if it a scientific calculator there should be a surd key ( look like a square root symbol, other way to get a square look for the "^" key that the exponent or power key do the follow type in the number be square rooted and press the "^" key and type "(1/2)" ( without the "" of course) and you will get the square root of your number. You can use the log and ln keys as well
type in your number you want square rooted and press the log or ln keys divide the result by 2 press the anti log key use might have press the 2nd key or shift key and press the log ( or 10^ key) or ln( or e^ key) the 10^ key and the e^ key change log to normal numbers
square root 9
type 9 press log to get .954242509 for a result
divide by 2 to get .477121255 press the 10^ key to get
3 for a answer.
The capability of these calculators to handle irrational numbers in radical form is limited to square roots. Roots of index other than 2 are always displayed in their decimal representation. If the calculator IO mode is set to MathIO, square roots will be displayed with the radical symbol. More complicated expressions with square roots might not be preserved and will be given as decimal numbers.
The calculator can't identify that this is a surd unless you input it as a surd, ie as 3/(4*sqrt(5))= when it will then show the equivalent form 3*sqrt(5)/20 (obtained by multiplying top and bottom by sqrt(5)) and you can swap between the two forms using the S<>D button. Even adding the next 4 decimal places (hidden) won't allow the calculator to identify the underlying surd as this is simply too complcated a calculation.
Use the xth-root function to compute any root. It's the fifth entry on the MATH menu, which you can get by pressing the MATH key. The fourth entry on the same menu gives you the third root without needing the 3 to be specified.
For example, to compute the 5th root of 32, press 5 MATH 5 3 2 ENTER.
Come on now....there are dedicated "square" and "square root" keys on the TI-30XA....
Enter your number e.g. 4, then press the "root x" key to get 2...
Press "x squared" key to get the square of 2 = 4
There's the even more useful "y to the power x" key and it's inverse "xth root of y" key.
E.g. Enter 2, then press the "y to the power x" key, then 5, then =, answer is 32 (2 x 2 x 2 x 2 x 2). Starting with 32, pres 2nd then the "y to the power x" key, then 5, then =, answer is 2, the 5th root of 32....
You can enter any root by typing the number, then hitting MATH and 5, which brings up the root symbol with the x in front of it: x√. So the fifth-root would be 5 -> MATH -> 5 and then whatever number you want to get the fifth-root for: 5x√10 for example. As someone else had mentioned, you can also raise it to a rational power: 3^(1/3) which would be the same as the cubed root of 3, but you could also type: 3 -> MATH -> 5 -> 3 and get the same answer, but looking like this in your calculator: 3x√3. The option for 4 actually is a predefined cubed-root, and the one for option 5 there is the root symbol that can be used with any number before it to get any root you want. There are no parenthesis as you get when using the predefined square-root and cubed-root functions, though, so you may want to type them in yourself if entering a long string of operations in the calculator at one time to make sure the calculator doesn't include numbers under the root that you don't want it to. But I guess it depends on preference in terms of what method you choose between the rational exponents or the root symbol (and most would go with whichever seems easiest and quickest to enter), but you asked specifically how to get the cubed-root on the TI-83 Plus, so there's my best attempt at answering your question.
1. square of 12 2. cube root of 48 a raise to 5 y raise to 6 3. square root of 128 y raise to 5 4. 6th root of 9 y raise to 2 5. cube root of 24 y raise to 5 6. 10th root of 32 x raise to 5 7. 15th root of 64 x raise to 9 8. 4th root of 10000 9. cube root of 192 p raise to 5 10. cube root of 256 y raise to 12