Do you find the meaning of squares and square roots confusing? This lesson will help you to distinguish the difference. 

We will also talk about perfect and imperfect squares, as well as changing the index to get other types of roots. A few applications, area of a circle and the Pythagorean Theorem, will also be included.

NOTE:

[There is a subtle distinction between the following statements.
– Determine a number whose square is 16; i.e., solve the
equation x^2 = 16.
– Determine the square root of 16; i.e., determine √16.
The correct response to the first question is ± 4, whereas the
correct response to the second question is 4 (or + 4). The
convention for the use of the square root symbol is that the
symbol by itself, e.g., the square root of 16 (√16), refers
specifically to the principal (positive) square root of the number.
The symbol for the negative square root includes a minus sign
before the symbol; e.g., the negative square root of 16 is –√16]