# Square Root

The root is** the inverse operation to the exponentiation**. Given two numbers, called the **radicand **and **index**, find a third number, which is called** the root**, such that when elevated to the** index**, it is equal to the** radicand**.

The index for the square root is ** 2**, although in this case it is omitted.

The square root of a number, **a**, is accurate when ** a number is found, b**, which when** elevated to the square is**** equal to the radicand**: **b ^{2} = a.**

#### Exact square root

An exact square root has the remainder 0.

**Radicand = (Exact root) ^{2 }**

#### Perfect Square

These are the numbers that have** exact square roots**.

**1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, ... **

#### Not exact square root

If a number is not a perfect square, the square root is no exact.

**Radicand = (Root) ^{2} + Remainder**

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