Let’s solve each part step by step.
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Part A: Find the values of the following (square roots of perfect squares)
We need to find numbers that, when multiplied by themselves, give the number under the square root.
1) √2500
Think: What number × itself = 2500?
50 × 50 = 2500 → So, √2500 =
50
2) √64
8 × 8 = 64 → So, √64 =
8
3) √729
Try 27: 27 × 27 = (20+7)(20+7) = 400 + 280 + 49 = 729 → So, √729 =
27
4) √1156
Try 34: 34 × 34 = (30+4)(30+4) = 900 + 240 + 16 = 1156 → So, √1156 =
34
5) √2025
Try 45: 45 × 45 = (40+5)(40+5) = 1600 + 400 + 25 = 2025 → So, √2025 =
45
6) √121
11 × 11 = 121 → So, √121 =
11
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Part B: Find the square roots of the following numerals
These are also perfect squares — we just need to find which number squared gives them.
1) 1849
Try 43: 43 × 43 = (40+3)(40+3) = 1600 + 240 + 9 = 1849 → So, √1849 =
43
2) 676
Try 26: 26 × 26 = (20+6)(20+6) = 400 + 240 + 36 = 676 → So, √676 =
26
3) 100
10 × 10 = 100 → So, √100 =
10
4) 256
16 × 16 = 256 → So, √256 =
16
5) 1681
Try 41: 41 × 41 = (40+1)(40+1) = 1600 + 80 + 1 = 1681 → So, √1681 =
41
6) 1369
Try 37: 37 × 37 = (30+7)(30+7) = 900 + 420 + 49 = 1369 → So, √1369 =
37
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Part C: Multiple Choice Questions
C) 1) Which of the following is the square root of 484?
Check options:
a) 28 → 28×28 = 784
✘
b) 24 → 24×24 = 576
✘
c) 22 → 22×22 = 484
✔
d) 27 → 27×27 = 729
✘
Answer:
c) 22
C) 2) Find the value of √64
8 × 8 = 64 → So, √64 =
8
Options:
a) 7
✘
b) 8
✔
c) 3
✘
d) 4
✘
Answer:
b) 8
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Final Answer:
A)
1) 50
2) 8
3) 27
4) 34
5) 45
6) 11
B)
1) 43
2) 26
3) 10
4) 16
5) 41
6) 37
C)
1) c) 22
2) b) 8
Parent Tip: Review the logic above to help your child master the concept of square roots worksheet with answers.
