The task in the image is to
find the radicands (the numbers under the square root symbol) such that the
square root of the radicand equals the given number on the left side.
In other words, for each equation like:
> 18 = √__
We need to find a number such that its square root is 18. That means:
> √x = 18 → x = 18² = 324
So we are squaring each number on the left to find the corresponding radicand.
Let’s go through all the problems step by step.
---
Left Column:
1.
18 = √? → ? = 18² =
324
2.
15 = √? → ? = 15² =
225
3.
0 = √? → ? = 0² =
0
4.
3 = √? → ? = 3² =
9
5.
6 = √? → ? = 6² =
36
6.
14 = √? → ? = 14² =
196
7.
11 = √? → ? = 11² =
121
8.
7 = √? → ? = 7² =
49
9.
5 = √? → ? = 5² =
25
10.
1 = √? → ? = 1² =
1
---
Right Column:
1.
4 = √? → ? = 4² =
16
2.
13 = √? → ? = 13² =
169
3.
17 = √? → ? = 17² =
289
4.
8 = √? → ? = 8² =
64
5.
12 = √? → ? = 12² =
144
6.
19 = √? → ? = 19² =
361
7.
10 = √? → ? = 10² =
100
8.
9 = √? → ? = 9² =
81 → Already filled in (correct!)
9.
16 = √? → ? = 16² =
256
10.
20 = √? → ? = 20² =
400
---
Final Answers:
| Given | Radicand |
|-------|----------|
| 18 | 324 |
| 15 | 225 |
| 0 | 0 |
| 3 | 9 |
| 6 | 36 |
| 14 | 196 |
| 11 | 121 |
| 7 | 49 |
| 5 | 25 |
| 1 | 1 |
| 4 | 16 |
| 13 | 169 |
| 17 | 289 |
| 8 | 64 |
| 12 | 144 |
| 19 | 361 |
| 10 | 100 |
| 9 | 81 |
| 16 | 256 |
| 20 | 400 |
✔ All radicands are less than or equal to 400, as required.
---
Explanation:
- A
radicand is the number inside the square root.
- If √x = a, then x = a².
- So, to solve "a = √?", you compute a².
- The largest value here is 20² = 400, which is exactly the upper limit.
✔ This satisfies the instruction: "Find the radicants up to 400."
---
Completed Worksheet:
```
18 = √324
15 = √225
0 = √0
3 = √9
6 = √36
14 = √196
11 = √121
7 = √49
5 = √25
1 = √1
4 = √16
13 = √169
17 = √289
8 = √64
12 = √144
19 = √361
10 = √100
9 = √81
16 = √256
20 = √400
```
All answers are correct and within the range.
✔
Parent Tip: Review the logic above to help your child master the concept of square root math worksheet.