4 - The square root

The square root is the inverse operation to a power with exponent 2.

√81 = 9, because 9² = 81

 

The terms of the square root √a = b are the radicand a, and the root b. 

There are several types of square roots:

1. Exact square root. An exact square root has the remainder 0.

√Radicand  = (Exact root)²

√36 = 6 36 = 6²

The result of an exact square root is a perfect square. The numbers that have exact square roots are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, ...

2. Not exact square root. If a number is not a perfect square, the square root is no exact, so there is a remainder.

√Radicand  = (Root)² + Remainder

√23 = 4² + 7

 

Now, please do TASK 1, TASK 2 and TASK 3.