Find the square roots of numbers 1 to 50 on this math worksheet.

To find the square root of a number, we look for a value that, when multiplied by itself, equals the original number. Since all the numbers in this list are perfect squares (numbers resulting from squaring an integer), the answers will be whole numbers.

Here is the step-by-step calculation for each problem:

1. $\sqrt{2,500}$: Think $5 \times 5 = 25$, so $50 \times 50 = 2,500$. Answer: 50
2. $\sqrt{484}$: Think $20 \times 20 = 400$ and $22 \times 22 = 484$. Answer: 22
3. $\sqrt{900}$: Think $9 \times 9 = 81$, so $30 \times 30 = 900$. Answer: 30
4. $\sqrt{1,936}$: The number ends in 6, so the root ends in 4 or 6. $40^2=1600$, $50^2=2500$. Try 44: $44 \times 44 = 1,936$. Answer: 44
5. $\sqrt{2,209}$: Ends in 9, so root ends in 3 or 7. Between $40^2$ and $50^2$. Try 47: $47 \times 47 = 2,209$. Answer: 47
6. $\sqrt{2,809}$: Ends in 9, so root ends in 3 or 7. Close to $50^2=2500$. Try 53: $53 \times 53 = 2,809$. Answer: 53
7. $\sqrt{400}$: Think $4 \times 4 = 16$, so $20 \times 20 = 400$. Answer: 20
8. $\sqrt{1,225}$: Ends in 5. $30^2=900$, $40^2=1600$. Try 35: $35 \times 35 = 1,225$. Answer: 35
9. $\sqrt{441}$: Think $20 \times 20 = 400$. Try 21: $21 \times 21 = 441$. Answer: 21
10. $\sqrt{1,681}$: Ends in 1, so root ends in 1 or 9. $40^2=1600$. Try 41: $41 \times 41 = 1,681$. Answer: 41
11. $\sqrt{1,089}$: Ends in 9, so root ends in 3 or 7. $30^2=900$. Try 33: $33 \times 33 = 1,089$. Answer: 33
12. $\sqrt{1,600}$: Think $16 \times 100$. $\sqrt{16}=4$, $\sqrt{100}=10$. $4 \times 10 = 40$. Answer: 40
13. $\sqrt{2,025}$: Ends in 5. $40^2=1600$, $50^2=2500$. Try 45: $45 \times 45 = 2,025$. Answer: 45
14. $\sqrt{1,444}$: Ends in 4, so root ends in 2 or 8. $30^2=900$, $40^2=1600$. Try 38: $38 \times 38 = 1,444$. Answer: 38
15. $\sqrt{784}$: Ends in 4, so root ends in 2 or 8. $20^2=400$, $30^2=900$. Try 28: $28 \times 28 = 784$. Answer: 28
16. $\sqrt{676}$: Ends in 6, so root ends in 4 or 6. $20^2=400$, $30^2=900$. Try 26: $26 \times 26 = 676$. Answer: 26
17. $\sqrt{529}$: Ends in 9, so root ends in 3 or 7. $20^2=400$, $30^2=900$. Try 23: $23 \times 23 = 529$. Answer: 23
18. $\sqrt{1,849}$: Ends in 9, so root ends in 3 or 7. $40^2=1600$. Try 43: $43 \times 43 = 1,849$. Answer: 43
19. $\sqrt{1,296}$: Ends in 6, so root ends in 4 or 6. $30^2=900$, $40^2=1600$. Try 36: $36 \times 36 = 1,296$. Answer: 36
20. $\sqrt{1,024}$: Power of 2 ($2^{10}$). Root is $2^5 = 32$. Check: $32 \times 32 = 1,024$. Answer: 32

Final Answer:
$\sqrt{2,500} = 50$
$\sqrt{484} = 22$
$\sqrt{900} = 30$
$\sqrt{1,936} = 44$
$\sqrt{2,209} = 47$
$\sqrt{2,809} = 53$
$\sqrt{400} = 20$
$\sqrt{1,225} = 35$
$\sqrt{441} = 21$
$\sqrt{1,681} = 41$
$\sqrt{1,089} = 33$
$\sqrt{1,600} = 40$
$\sqrt{2,025} = 45$
$\sqrt{1,444} = 38$
$\sqrt{784} = 28$
$\sqrt{676} = 26$
$\sqrt{529} = 23$
$\sqrt{1,849} = 43$
$\sqrt{1,296} = 36$
$\sqrt{1,024} = 32$