Square and Cube RootsThe numbers worth knowing by sight, and how to simplify the rest.8th GradeA square root asks what number times itself givesthis. A cube root asks what number used threetimes gives this.√144 = 12 · ∛27 = 3Perfect squares1 4 9 16 25 36 49 64 81 100 121 144Know these on sight.Perfect cubes1 8 27 64 125 216Fewer to learn, and they come up often.√505√2Pull out the largest perfect square: √25 × √2.√2irrational ≈ 1.414It never terminates and never repeats.THE COMMON MISTAKE√(9+16) = 3 + 4√25 = 5You cannot split a root over addition. Only over multiplication and division.Any square root of a non-perfect square is irrational. That is whereirrational numbers come from.Square and Cube Rootslearnposters.com
Square and Cube Roots — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Square and Cube Roots poster

The rule, 4 worked examples, and the mistake everyone makes.

Any square root of a non-perfect square is irrational. That is where irrational numbers come from.

Questions about the Square and Cube Roots poster

What’s on the Square and Cube Roots poster?
The rule, 4 worked examples, and the mistake everyone makes. A square root asks what number times itself gives this. A cube root asks what number…; √144 = 12 · ∛27 = 3; Perfect squares = 1 4 9 16 25 36 49 64 81 100 121 144; Perfect cubes = 1 8 27 64 125 216; √50 = 5√2; √2 = irrational ≈ 1.414; Common mistake: √(9+16) = 3 + 4 → √25 = 5. Any square root of a non-perfect square is irrational. That is where irrational numbers come from.
Who is the Square and Cube Roots poster for?
Square and Cube Roots is filed under 8th Grade (ages 13–14), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Square and Cube Roots poster?
Memorise the perfect squares to 15². It saves time in every later topic. A wall chart earns its place by being glanceable from where the work is happening, so Square and Cube Roots belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Square and Cube Roots?
Angles and Parallel Lines, Distance and Midpoint and Exponent & Radical Rules sit alongside Square and Cube Roots in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Angles and Parallel LinesDistance and MidpointExponent & Radical Rules
Is the Square and Cube Roots poster free to download and print?
Yes. Square and Cube Roots downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Square and Cube Roots poster print at?
Square and Cube Roots is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Square and Cube Roots loses nothing.Printing guide

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