When you multiply a positive integer by itself, it is a perfect square. For example, the square root of 10 is a decimal number close to 3.16227 (you can check this by multiplying that number times itself on a calculator and you’ll get a value very close to 10.) So What makes a Perfect Square Root? While we usually learn about square roots in the context of integers, we can also find the square roots of numbers that are not integers. Generically, this means bxb=a, demonstrating that (b) is the square root of (a) or in a specific example, 3x3=9, demonstrating that 3 is the square root of 9. The square root of some number (a) is another number (b) that when multiplied by itself gives (a). Students are often familiar with functions that complement each other (for example addition and subtraction.) Using this framework to describe finding roots as a special reversal of a multiplication problem is a great mental shortcut for explaining not just square roots, but different radix roots as well. What are Square Roots?Ī good way to explain square roots to students is to describe it as the reverse of multiplying a number by itself. ![]() ![]() The colorful chart with the perfect squares from 1 to 15 not only have a visual representation of the square area associated with each root calculation, but also show the names of the parts of a square root expression (radical sign, radicand and root) and a brief description of how a specific square multiplication problem relates to a square root equation. The finely crafted charts on this page are ready to send straight to your high-resolution printer and would make a fine addition to your student’s basic geometry and algebra folders. Square Roots 1-100 (Black and White) Printable Square Root and Perfect Square Charts
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