Math worksheet focused on squaring numbers and simplifying square roots, featuring multiple-choice and fill-in-the-blank questions.

I'll work through each problem step by step.

Part A: Find the values of the following:

1) (√7)²
- When you square a square root, they cancel out
- (√7)² = 7

2) (√13)²
- (√13)² = 13

3) (√5)²
- (√5)² = 5

4) (√17)²
- (√17)² = 17

5) (√6)²
- (√6)² = 6

6) (√11)²
- (√11)² = 11

Part B: Find the squares of the following numerals:

1) √49
- 49 = 7 (since 7 × 7 = 49)
- Answer: 7

2) 9√11
- This means 9 times √11
- To find the square: (9√11)² = 9² × (√11)² = 81 × 11 = 891
- Answer: 891

3) 2√7
- (2√7)² = 2² × (√7)² = 4 × 7 = 28
- Answer: 28

4) 4√23
- (4√23)² = 4² × (√23)² = 16 × 23 = 368
- Answer: 368

5) 5√2
- (5√2)² = 5² × (√2)² = 25 × 2 = 50
- Answer: 50

6) 10√26
- (10√26)² = 10² × (√26)² = 100 × 26 = 2600
- Answer: 2600

Part C: Multiple Choice Questions

1) Which of the following is the square of 13?
- (√13)² = 13
- Looking at options: a) 70, b) 13, c) 1225, d) 53
- Answer: b) 13

2) Which of the following is equal to (√24)²?
- (√24)² = 24
- Looking at options: a) 600, b) 240, c) 120, d) 576
- Wait, let me check this again. The answer should be 24, but that's not in the options.
- Let me re-read... It says "(√24)²" which equals 24
- None of the options show 24. Let me check if I'm reading it correctly.
- Actually, looking more carefully at the image, it might be asking about something else or there might be a typo. But based on the mathematical principle, (√24)² = 24.

Let me reconsider - perhaps it's asking for a different calculation. If we look at the options:
- 600, 240, 120, 576

Hmm, none equal 24. Let me check if perhaps it's (2√24)² or similar:
- (2√24)² = 4 × 24 = 96 (not in options)
- (5√24)² = 25 × 24 = 600 ✓

So if it's (5√24)², the answer would be 600. But the question shows (√24)².

Actually, wait - let me look at this more carefully. Perhaps it's asking about √(24)² or there's another interpretation. But mathematically, (√24)² = 24.

Given the options provided and assuming the question is correct as written, I need to select from what's given. Since 24 isn't an option, there may be an error in the worksheet, OR I'm misreading the question.

Let me assume the most straightforward interpretation: (√24)² = 24, but since that's not available, I cannot definitively answer this without seeing clearer text. However, if forced to choose from the given options and assuming there might be a coefficient I can't see clearly, I'd need more information.

For now, I'll note that mathematically (√24)² = 24, but this doesn't match any given option.

Final Answer:

Part A:
1) 7
2) 13
3) 5
4) 17
5) 6
6) 11

Part B:
1) 7
2) 891
3) 28
4) 368
5) 50
6) 2600

Part C:
1) b) 13
2) [Cannot determine with certainty - mathematically (√24)² = 24, but this option is not listed]