square roots

Numbers times themselves

A square root is a number that, when multiplied by itself, produces a given number.

The square root of 9 is 3, because 3 × 3 = 9.

Most numbers have two square roots—one positive, one negative—though the term usually refers to the positive one: What's the square root of 144?

The square root of a negative number requires imaginary numbers.

calculation

radicand

Number under root symbol

calculate · simplify · approximate · decimal · fraction · reduce · factor · rationalizing · conjugate · arithmetic

irrational

surd

Unutterable in ratios

proof · hypotenuse · diagonal · non-rational · number theory

algebraic

quadratic formula

Equation solving ax²+bx+c=0

factorization · algebraic expression · exponent · quadratic · variable · solve · unknown · coefficient

geometric

area

Extent of surface

right triangle · compass · straightedge · magnitude · spatial · two-dimensional

Categories
Opposites
mathematical operation direction

square rootssquaring

Making perpendicular or equal

squares · exponentiation · powers · perfect squares · quadratic functions

root index/degree

square rootscube roots

Values tripled by multiplication recreate targets

cubes

Family

root, square, roots, rooted, squares, squarely, rooting, squared, squaring

Familiarity
Top 50,000
Profile
Known to kids · Used worldwide · Timeless · Abstract · Rated G