RootsSquare roots
Name: Date:
Find each square root.
1121 =
2144 =
3784 =
4529 =
564 =
6900 =
- Free
- Grade 8
- Perfect squares to 625
Square roots worksheets
A square root asks which number, multiplied by itself, gives this one. These free printable worksheets use perfect squares only, so every answer is a whole number and the question is recall rather than estimation.
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Ready to printSquare roots
The answer key prints on a separate page.
What's on this sheet
√144 = 12 because 12 × 12 = 144, and saying it that way keeps the root tied to the multiplication it undoes. Children who meet roots as a button on a calculator often cannot say what the answer means; children who have learned the squares to 25 can answer most of a page from memory.
Why this sheet works
The squares themselves are the thing worth knowing. 1, 4, 9, 16, 25 and onwards is a short list, it is the same list that makes the Pythagorean theorem workable, and reading it aloud a few times does more for this topic than any amount of working out.
How this one works
One question from this sheet, worked through a step at a time.
√121
√121=▢
11 × 11=121
11 × 11=121
√121=11
- √ asks a question: which number times itself gives 121? It is not an instruction to halve 121 — that is the mistake this symbol collects.
- That number is in the times table: 11 × 11 = 121.
- So √121 = 11.