Square root | square root expansion
NumberwhosesquareisagivennumberNotationforthe(principal)squarerootofx.Forexample,√25=5,since25=5 ⋅ 5,or52(5squared).Inmathematics,asquarerootofanumberxisanumberysuchthaty2=x;inotherwords,anumberywhosesquare(theresultofmultiplyingthenumberbyitself,ory ⋅ y)isx.[1]Forexample,4and−4aresquarerootsof16,because42=(−4)2=16.Everynonnegativerealnumberxhasauniquenonnegativesquareroot,calledtheprincipalsquareroot,whichisdenotedbyx,{displaystyle{sqrt{x}},}wherethesymbol {displaystyle{sqrt{~{~}}}}iscalle...
Number whose square is a given number
Notation for the (principal) square root of x. For example, √25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared).In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.
Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by x,{displaystyle {sqrt {x}},} where the symbol {displaystyle {sqrt {~{~}}}} is called the radical sign[2] or radix. For example, to express the fact that the principal square root of 9 is 3, we write 9=3{displaystyle {sqrt {9}}=3}. The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9. For nonnegative x, the principal square root...