Chap. 2 - Indices and Surds Flashcards
a^m*a^n
a^m+n
a^n/a^m
a^n-m
(a^m)^n
a^m*n
a^m/n
n√a^m
how do you simplify surds?
look for perfect square factors inside the surd, then divide the surd by said factor and leave the answer inside the square root. square root the perfect square and put it on the outside!
like surds can be…
…added and subtracted
surds can be…
…multiplied
expanding brackets with surds uses the…
…distributive law
can you simplify
20 - 20√2
No! Only like surds can be added and subtracted!!!!!!!!!
what is the conjugate of x-y?
x+y
ITS IN REVERSE!
when do you have to use the conjugate?
when rationalising a denominator that is a binomial.
e.g 9√6 - 4 = 9√6 + 4
what does a perfect square look like?
a series of terms squared in brackets.
what does a difference of 2 squares look like.
a^2-b^2, or (a+b)(a-b)
a^m/n ALSO EQUALS…
(a^1/n)^m
