A square root asks what number times itself gives this. Knowing the squares up to about fifteen by heart makes the whole page quick, and it is what lets you place the messy ones between two whole numbers. A cube root asks the same question with three equal factors, and x³ = p is answered by one.
Not quite the one you need? Same words, different skill:
Halving instead of rooting. The square root of 36 is 6, not 18: you are looking for the number that multiplies by itself, not the number you add to itself.
Also called perfect squares or estimating square roots.
What you can put on this worksheet
A perfect square
121→ 11
Between which two whole numbers
57 lies between two consecutive whole numbers. What is the smaller one?→ 7
Cube roots
327→ 3
Solve x² = p and x³ = p
x2=36→ {−6,6}
Fractions, decimals and negatives
14449→ 127
A fraction to reduce first
24312→ 92
Estimate to the nearest tenth
Estimate 28 to the nearest tenth→ 5.3
Questions about these worksheets
Yes. Every square roots sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the square roots questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 7: a perfect square, between which two whole numbers, cube roots, solve x² = p and x³ = p, fractions, decimals and negatives, a fraction to reduce first and estimate to the nearest tenth. Tick as many as you want and set how many of each, or let it spread them evenly.
Halving instead of rooting. The square root of 36 is 6, not 18: you are looking for the number that multiplies by itself, not the number you add to itself.