Square Root Formula

The square root of a number is a number squaring which gives the original number.

• It is that factor of the number that, when squared, gives the original number.
• It is the value of the power 1/2 of that number.
• The square root of a number is represented as √.

The formula to find the square root is

\sqrt{y} = x \quad \text{if} \quad x^2 = y

Example: Square root of 9

⇒ √9 = ± 3

Here, 3² = 9

(-3)² = 9

The number inside the square root is called the radicand, and the square root symbol is called the radical.

Various other square root formulas are:

• √x = x^1/2

• √x . √x = x

• x√y . x√y = x²y

• √(x × y) = √x × √y

• √(x / y) = √x / √y

• x / √y = (x / √y) × ( √y / √y) = (x .  √y)/y

• x / (y + z. √p) = [x / (y + z√p)]×[(y - z√p)/ (y - z√p)] = [x(y - z√p)]/[y² - z²p]

• x / (y - z. √p) = [x / (y - z√p)]×[(y + z√p)/ (y + z√p)] = [x(y + z√p)]/[y² - z²p]

Related Articles

• Methods to find Square Root
• Long Division Method
• Square Root of Complex Numbers
• Square roots: 1 to 100