## Tuesday, February 1, 2011

### SQUARE AND SQUARE ROOT2

1. Complete the following exercise.

2. Deduce whether there is a rule to observe in the use of square or index.

3. Does the rule/s apply to the following questions.

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Question 1
a) 36
b)-36
c)36
d)-36
e)-36
Question 2
There are negative and positive squares.
Question 3
a)36/49
b)36/49
c)5 1/7

3. 1a.36
1b.-36
1c.36
1d.-36
1e.-36
It doesn't matter if the squaring number is inside the bracket, it can also work without the brackets to find the squared number.
3a.36/49
3b.36/49
3c.36/7

4. 1a)36
b)-12
c)36
d)-12
e)-36
2)if there is anything in the bracket it must be equated first and together.
3)yes

1)a.36
b.-36
c.36
d.-36
e.-36
2)the square works the same inside or outside the bracket.
3)yes

6. 1)
a.36
b.-36
c.36
d.-36
e.-72
2)
The rule is that you need to multiple the number by itself the number of times it states on the index notation.
3)
Yes

7. 1a) 36
1b) -36
1c) 36
1d)-36
1e) -36

2)Squares can be expresses in different ways nut can give the same value

3)
a)36/49
b)36/47
c)36/7

8. 1a.36
1b.-36
1c.-36
1d.-36
1e.-36
2. Both Negative and Positive Squares
3a.36/49
3b.36/49
3c.5 1/7

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10. 1a) 36.
1b) -36
1c) 36
1d) -36
1e) -36
2) You have to multiply both the numerator and denominator. (Try converting whole numbers into fraction, you'll get what I mean.)
3a) Yes.
3b) Yes.
3c) No.

11. 1a. 36
1b.-36
1c. 36
1d. -36
1e.36
2.It does not matter if the base is inside the brackets or not, the answer will still be the same as the answer that the equation without the brackets wil give.
3a.36/49.
3b.36/49.
3c.36/7.
The rules only apply to 3a and 3b as there are index notations for both the numerator and denominator.

12. 1 (a). 36
(b). -36
(c). 36
(d). -36
(e). -36
2. the original number must be multiplied by itself by the number of times indicated on the index notation.
3 (a). 36/49
(b). 36/49
(c). 5/1/7

13. 1)a) 36
b) -36
c)36
d)-36
e)-36
2) It does not matter if both the number in the fraction is square rooted with the same number or if the the fraction is bracket and the whole thing is square rooted it is the same. But if one number in the fraction is square rooted, it is different
3) Yes

14. 1)a.36
b.-36
c.36
d.-36
e.-36

2)Although the some equations look different, the answers are the same. So equations can be expressed differently. But although some look the same, the answers might be different.

3)a.36/49
b.36/49
c.36/7

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16. 1a. 36
1b. -36
1c. 36
1d. -36
1e. -36

2. Although the equation is expressed differently and some are placed in brackets, the answers are the same.

3a. 36/49
3b. 36/49
3c. 5 1/7

17. 1.
a)36
b)-36
c)36
d)-36
e)-36

2. When solving these problems, having brackets does not affect how we solve it. This only applies if the square number is inside the bracket

3.
a)36/49
b)36/49
c)5/1/7

18. 1)
a. 36
b. - 36
c. 36
d. - 36
e. - 36

19. 1a. 36
1b. -36
1c. 36
1d. -36
1e. -36

2. Square is multiplying the number by itself and index is showing the number of times the number must be multipled by

3a. 36/49
3b. 36/49
3c. 5 1/7

20. 1a) 36
1b) -36
1c) 36
1d) -36
1e) -36
2) There are both negative and positive squares
3a) 36/49
3b) 36/49
3c) 5 1/7

21. 1 (a) 36

(b) -36
(c) 36
(d) -36
(e) 36

2 The number in the bracket has to be solved first.

3 (a) 36/49
(b) 36/49
(c) 5 1/7
The rule does apply.

1a) 36
1b)-36
1c) 36
1d) -36
1c) -36
3a) 36/49
3b) 36/49
3c) 5 1/7 or 36/7

the solution for numbers in thhe brackets are the same...

1a) 36
1b) -36
1c) 36
1d) -36
1e) -36

The brackets will not change the final result

Yes

25. Question 1
a. 36
b. -36
c. 36
d. -36
e. -36

Question 2
Equations within the brackets must be done first

Question 3
Yes
a. 36/49
b. 36/49
c. 5/1/7