Perfect Squares — Definition & Examples
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- Perfect squares and square roots are some of the best introductory material to multiplication. Let's take a set of coins. Now, let's say you want to arrange them into squares. O…
By Greg Voth, Alex Federspiel, Amy Feraco, Sarah Walker, Caroline K, Joshua Siktar
- (Video) What Is a Perfect Square? by Brian McLogan This video by Brian McLogan covers the definition and calculation of perfect squares. Summary:\large{\text{Summary:}}Summary: …
By Alex Federspiel, Jonathan Heller, Caroline K, Joshua Siktar
- A perfect square is any number that can be expressed as the product of two equal integers. In other words, a perfect square is a number that can be made by squaring a whole numb…
By Eunji Kwon, Caroline K, Joshua Siktar
- Perfect Squares Let's think about what the definition of a "perfect square" is. When you are drawing a perfect square, what property makes it "perfect"? Well, it is perfect when…
By Sarah Walker
Problems 20
- Select the non perfect squares.
- Is 111 a perfect square?
- Select the perfect squares.
- Let xxx be an integer. Is 16x216x^216x2 a perfect square?
- Let x,y,x, y,x,y, and zzz be integers. Is 4x4y20z1004x^4y^{20}z^{100}4x4y20z100 a perfect square?
- Is a perfect square times a perfect square equal to a perfect square?
- Is a perfect square plus a perfect square equal to a perfect square?
- Is a perfect square divided by a perfect square a perfect square?
- Is a perfect square raised to the power of two (i.e., a perfect square squared) equal to a perfect square?
- Is a perfect square raised to an integer power still a perfect square?
- Is 123456789012345678901234567890^{1234567890}12345678901234567890 a perfect square?
- True or False\text{True or False}True or False 000 is a perfect square.
- Consider a square with side lengths 2 m.2\text{ m}.2 m. What is the area of the square, and is this number a perfect square?
- What is the sum of the first four perfect squares?
- True or False\text{True or False}True or False 1⋅4⋅9⋅16⋅25⋅36⋅491\cdot 4\cdot 9\cdot 16\cdot 25\cdot 36\cdot 491⋅4⋅9⋅16⋅25⋅36⋅49 is a perfect square.
- True or False\text{True or False}True or False 494949 is a perfect square.
- Is there such thing as a negative perfect square?
- Let aaa and bbb be integers. Is (a+b)4a2b200(a+b)^4a^2b^{200}(a+b)4a2b200 a perfect square?
- True or False\text{True or False}True or False −25-25−25 is a perfect square.
- True or False\text{True or False}True or False π2\pi^2π2 is a perfect square.