Square root of 5
The square root of 5, denoted 5 {\displaystyle {\sqrt {5}}} , is the positive real number that, when multiplied by itself, gives the natural number 5. Along with its conjugate − 5 {\displaystyle -{\sqrt {5}}} , it solves the quadratic equation x 2 − 5 = 0 {\displaystyle x^{2}-5=0} , making it a quadratic integer, a type of algebraic number.