Answer :
Let's solve the question step-by-step to find the value of the variable and understand what's being compared:
1. Calculate [tex]\(7^2 + 12^2\)[/tex]:
- First, calculate [tex]\(7^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
- Then, calculate [tex]\(12^2\)[/tex]:
[tex]\[
12^2 = 144
\][/tex]
- Add these two results together:
[tex]\[
49 + 144 = 193
\][/tex]
2. Compare with 1932:
- We calculated [tex]\(7^2 + 12^2 = 193\)[/tex].
- Clearly, 193 is much smaller than 1932, indicating that the calculated sum is not equal to or greater than 1932.
- Therefore, [tex]\(193\)[/tex] is compared as less than 1932.
3. Express [tex]\(y^2 + 9^2\)[/tex]:
- The question asks to express [tex]\(y^2 + 9^2\)[/tex] in simplest radical form.
- However, without further information or an equation, we cannot solve for [tex]\(y\)[/tex] or simplify [tex]\(y^2 + 9^2\)[/tex] into a specific numerical form.
So, to summarize:
- [tex]\(7^2 + 12^2\)[/tex] equals 193, which is less than 1932.
- [tex]\(y^2 + 9^2\)[/tex] cannot be simplified further or solved without additional context or an equation.
1. Calculate [tex]\(7^2 + 12^2\)[/tex]:
- First, calculate [tex]\(7^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]
- Then, calculate [tex]\(12^2\)[/tex]:
[tex]\[
12^2 = 144
\][/tex]
- Add these two results together:
[tex]\[
49 + 144 = 193
\][/tex]
2. Compare with 1932:
- We calculated [tex]\(7^2 + 12^2 = 193\)[/tex].
- Clearly, 193 is much smaller than 1932, indicating that the calculated sum is not equal to or greater than 1932.
- Therefore, [tex]\(193\)[/tex] is compared as less than 1932.
3. Express [tex]\(y^2 + 9^2\)[/tex]:
- The question asks to express [tex]\(y^2 + 9^2\)[/tex] in simplest radical form.
- However, without further information or an equation, we cannot solve for [tex]\(y\)[/tex] or simplify [tex]\(y^2 + 9^2\)[/tex] into a specific numerical form.
So, to summarize:
- [tex]\(7^2 + 12^2\)[/tex] equals 193, which is less than 1932.
- [tex]\(y^2 + 9^2\)[/tex] cannot be simplified further or solved without additional context or an equation.
