The document discusses the history and origins of radical symbols used in mathematics. It traces the development of the radical symbol from its first recorded use in 1436 by Regiomontanus to denote the square root of a number. Several other mathematicians, including Rudolff, Girard, Descartes, Leibniz, and Gauss, further developed and standardized radical symbols and notations over subsequent centuries. The document also provides an example of solving a radical equation to find the length of the sides of a square with an area of √72 square centimeters.

1. (including old symbols and
problems in solving radical
expressions)

2. OFor any given number, it is
another number that when
multiplied by itself equals the
given number.

3. Symbol Origin Author
R 1436-1476 Regiomontanu
s
√ 1525 Christoff
Rudolff
n√ 1629 Albert Girard

4. Symbol Origin Author
√ ̅ 1637 René
Descartes
· 1698 Gottfried
Leibniz
∏ 1812 Carl Friedrich
Gauss

5. Symbol Origin Author
x 1902 J. Willard
Gibbs
ℤ 1930 Edmund
Landau

6. OMs. Sharon grouped the grade
9 into two groups and the first
group includes Julius, Jansen,
Ella and Rose Ann and they
were assigned to cut a square-
shaped cardboard box. Find the
length of the sides of a square
whose area is √72 square
centimeters.

7. A = S2
72 = S2
√72 = √S2
√9•8 = √S2
3 √8 = S
6 √2=S