The Egyptians calculated square roots using an inverse proportion method as far back as 1650BC. Chinese mathematical writings from around 200BC show that square roots were being approximated using an excess and deficiency method. In 1450AD Regiomontanus invented a symbol for a square root, written as an elaborate R.

Properties and uses (usually just referred to as the “square root function”) is a function that maps the set of nonnegative real numbers onto itself. The square root function maps rational numbers into algebraic numbers, the latter being a superset of the rational numbers).

The origin of the root symbol √ is largely speculative. Some sources imply that the symbol was first used by Arab mathematicians. However, Leonhard Euler believed it originated from the letter “r”, the first letter of the Latin word “radix” (meaning “root”), referring to the same mathematical operation.

Square root, in mathematics, a factor of a number that, when multiplied by itself, gives the original number. For example, both 3 and –3 are square roots of 9.

√ is the symbol for square root. A square root is the number that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, because 2 x 2 = 4.

11

Hence, 529 is a perfect square number. Thus, the square root of 529 is a rational number….Square Root of 529.

24

18.248

13

The square root of 169 is a rational number because it is a perfect square — the answer has no decimals….Finding square root of 169 by factoring.

9.2195444573

List of Perfect Squares

If a is the square root of b, it means that a×a=b. The square of any number is always a positive number, so every number has two square roots, one positive value, and one negative value. For example, both 2 and -2 are square roots of 4….Square Root Table.

14.1

The square root of 24 is a number which when multiplied by itself, results in the number 24. The value of a square root can be a decimal, whole number, and even a negative number….Square of 24: 24² = 576.

Square Root of 11 by Long Division Method To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036.

square root of 11: √11 ≈ 3.32 , square root of 13: √13 ≈ 3.61 , square root of 17: √17 ≈ 4.12 , square root of 19: √19 ≈ 4.34 , etc.

The square root of 73 is expressed as √73 in the radical form and as (73)½ or (73)0.5 in the exponent form. The square root of 73 rounded up to 7 decimal places is 8.5440037….Square Root of 73 in radical form: √73.

How to Find the Square Root of 59?

1. Step 1: Starting from the right, we will pair up the digits 59 by putting a bar above them.
2. Step 2: Think of a number whose square is less than or equal to 59.
3. Step 3: Dividing by 59 by 7 with quotient set as 7, we get a remainder of 10.
4. Step 4: Drag a pair of 0’s down and fill it next to the remainder to make it 1000.