Answer :
To find the square roots of the number 49, let's go through the possible answers one by one.
1. Understanding square root(s):
The square root of a number is a value that, when multiplied by itself, gives the original number. For 49, there are two square roots: a positive one and a negative one.
2. Checking each option:
- Option A: 7
7 is a square root of 49 because [tex]\(7 \times 7 = 49\)[/tex].
- Option B: -7
-7 is also a square root of 49 because [tex]\((-7) \times (-7) = 49\)[/tex].
- Option C: 8
8 is not a square root of 49 because [tex]\(8 \times 8 = 64\)[/tex], which is not 49.
- Option D: [tex]\(49^{1/2}\)[/tex]
[tex]\(49^{1/2}\)[/tex] represents the mathematical way to express the square root of 49, which equals 7. Therefore, it is a square root of 49.
- Option E: [tex]\(-49^{1/2}\)[/tex]
[tex]\(-49^{1/2}\)[/tex] represents the negative square root of 49, which equals -7. Therefore, it is a square root of 49.
- Option F: 28
28 is not a square root of 49 because [tex]\(28 \times 28 = 784\)[/tex], which is not 49.
3. Concluding:
Based on the analysis, the correct square roots of 49 from the options are:
- Option A: 7
- Option B: -7
- Option D: [tex]\(49^{1/2}\)[/tex]
- Option E: [tex]\(-49^{1/2}\)[/tex]
These are the values that satisfy the condition of being square roots of 49.
1. Understanding square root(s):
The square root of a number is a value that, when multiplied by itself, gives the original number. For 49, there are two square roots: a positive one and a negative one.
2. Checking each option:
- Option A: 7
7 is a square root of 49 because [tex]\(7 \times 7 = 49\)[/tex].
- Option B: -7
-7 is also a square root of 49 because [tex]\((-7) \times (-7) = 49\)[/tex].
- Option C: 8
8 is not a square root of 49 because [tex]\(8 \times 8 = 64\)[/tex], which is not 49.
- Option D: [tex]\(49^{1/2}\)[/tex]
[tex]\(49^{1/2}\)[/tex] represents the mathematical way to express the square root of 49, which equals 7. Therefore, it is a square root of 49.
- Option E: [tex]\(-49^{1/2}\)[/tex]
[tex]\(-49^{1/2}\)[/tex] represents the negative square root of 49, which equals -7. Therefore, it is a square root of 49.
- Option F: 28
28 is not a square root of 49 because [tex]\(28 \times 28 = 784\)[/tex], which is not 49.
3. Concluding:
Based on the analysis, the correct square roots of 49 from the options are:
- Option A: 7
- Option B: -7
- Option D: [tex]\(49^{1/2}\)[/tex]
- Option E: [tex]\(-49^{1/2}\)[/tex]
These are the values that satisfy the condition of being square roots of 49.
