#MathsInMinutes Day 11: Squares, square roots and (axes) powers

#MathsInMinutes Day:11

● The square of any number x is the product of the number times itself, denoted x^2. The term originates from the fact that the area of a square (with equal sides) is the length of a side times itself.

● The square of any non-zero number is positive, since the product of two negative numbers is positive, and the square of zero is zero.

● Conversely, any positive number must be the square of two numbers, x and -x. These are its square roots.

● More generally, multiplying a number x by itself n times gives x to the power of n, written x^n. Powers have their own combination rules, which arise from their meaning:

● x^n X x^m = x^n+m

● (x^n)^m = x^nm

● x^0 = 1

● X^1 = x

● X^-1 = 1/x

● It also follows from the formula x^n X n^m = x^n+m that the square root of a number can be thought of as that number raised to the power of one-half, I.e.√x = x^1/2

--------------------------------------------------------------------------------------

I hope you enjoyed!

If you liked this content consider buying the original book:

http://a.co/72sJoVV

If you want to be notified about a new blog entry in this series, please leave a short message below along the lines of "i am interested" so I can write your handle down and @ you in the next entry.