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Learn about the square root symbol (the principal root) and what it means to find a square root. Also learn how to solve simple square root equations.
- Understanding Square Roots
A square root is a number that when multiplied by itself...
- Square Roots Review
The square root of a number is the factor that we can...
- Understanding Square Roots
Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 5 2 (5 squared). In mathematics, a square root of a number x is a number y such that =; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x.
The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form. If a given number is not a perfect square, you will get a final answer in exact form and decimal form.
The square root of a number \(a\), denoted \(\sqrt{a}\), is the number \(b\) such that \[b^{2} = a\text{ and }b\ge 0.\] The square root symbol "\(\sqrt{\ }\)" is also sometimes called a radical. The number or expression underneath the top line of the square root symbol is called the radicand.
There is a fun method for calculating a square root that gets more and more accurate each time around: a) start with a guess (let's guess 4 is the square root of 10) b) divide by the guess (10/4 = 2.5) c) add that to the guess (4 + 2.5 = 6.5) d) then divide that result by 2, in other words halve it. (6.5/2 = 3.25)
