Question about Mathsoft StudyWorks! Mathematics Deluxe 5.0 (11513) for PC

# Whats the exact value of square root of (2+ square root of (2+ square root of (2+ square root of...)))

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Posted on Apr 27, 2011

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You should feel happy that your calculator can perform some exact calculations. If you do not want the exact values you can press the SD key. You can also press SHIFT EXE rather than EXE alone.

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Hi rayalak857,

Have a nice day.

Calculator does not have a solve program, but you can use it to solve the quadratic equation with a little effort. If you know the theory skip toward the end.
Here is the example:

Let aX^2+bX+C=0
1. First calculate the discriminant usually called Delta and given by
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You only solve if Delta is positive or equal to 0.

Putting in the values of a, b, and c
value of a (put you number) [SHIFT][STO] A
value of b (put your value) [SHIFT][STO] B
value of c (put you value) [SHIF][STO] C

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Value of delta is displayed. If it is positive, you store its square root in D

[Square root] [ANS] [SHIFT][STO] D ;

Calculate 1/(2*a) and store in variable F
1./(2[x] ALPHA A) [SHIFT][STO] F

To obtain X1
[ALPHA] F [x] ( (-) ALPHA B + ALPHA D ) [=]
To obtain X2
[ALPHA] F [x] ( (-) ALPHA B - ALPHA D ) [=]

Be careful: the (-) is the change sign not the regular minus sign.

Hope it helps. Goodluck

Thank you for using fixya.

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Hello,
The calculator does not have a solve program, but you can still use it to solve the quadratic equation with a little effort. If you know the therory skip toward the end.

Let aX^2+bX+C=0
1. First calculate the discriminant usually called Delta and given by
Delta =b^2 -4*a*c store the value in the variable D
If Delta is positive you have two roots X1 and X2 given by
X1=(-b+square root of Delta)/(2*a)
X2=(-b- square root of Delta)/(2*a)

If Delta is equal to 0, X1=X2=-b/(2*a)
If Delta i negative, no real solutions exist

You only solve if Delta is positive or equal to 0.

Putting in the values of a, b, and c
value of a (put you number) [SHIFT][STO] A
value of b (put your value) [SHIFT][STO] B
value of c (put you value) [SHIF][STO] C

[ALPHA] B [X^2] -4[x][ALPHA] A [x][ALPHA] C [=]
Value of delta is displayed. If it is positive, you store its square root in D

[Square root] [ANS] [SHIFT][STO] D ;

Calculate 1/(2*a) and store in variable F
1./(2[x] ALPHA A) [SHIFT][STO] F

To obtain X1
[ALPHA] F [x] ( (-) ALPHA B + ALPHA D ) [=]
To obtain X2
[ALPHA] F [x] ( (-) ALPHA B - ALPHA D ) [=]

Be careful: the (-) is the change sign not the regular minus sign.

Hope it helps.

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Hello,
The question is not clear. What is the value of y?. The calculator cannot help if y is not known. I will give you a few hints for this algebra problem:
1. Taking the square root is equivalent to raising to the 1/2 power.
2. Power of a product is equal to the product of the powers. (X*Y)^a=(X^a) times (Y^a)
3. (X^a)^b =X^ (a*b)

Hope it helps.

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### What is the square root of 200?

The exact square root is 14.1419

The 200= 100 * 2
50 * 2 * 2
25 * 2 * 2 * 2
5 * 5 * 2 * 2 * 2

5 * 2 suare root of 2 so the final answer is

10 Square root of 2

Nov 13, 2008 | Texas Instruments TI-30XA Calculator

### Trignometric problem

The answer is Square root of 2. ( )
They way it works is :
sec theta at 45 degre is 1 over cosine of theta or
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Therefore you have 1 over square root of 2 over 2.
After rationalization and simplification you should have .

Feb 20, 2008 | Ingenico I6550 (6550US0041)

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