SOLUTION: Simplify each of the following expressions:
Tricky ones
(t^1/2-2^3/2)(t^1/2+2^3/2)
(t square root 1/2 minus 2 square root 3/2)(t square root 1/2 plus 2 square root 3/2)
Algebra.Com
Question 1039700: Simplify each of the following expressions:
Tricky ones
(t^1/2-2^3/2)(t^1/2+2^3/2)
(t square root 1/2 minus 2 square root 3/2)(t square root 1/2 plus 2 square root 3/2)
Thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First you say symbolically:
\left(t^{\frac{1}{2}}\ +\ 2^{\frac{3}{2}}\right))
And then you write:
\left(t\sqrt{\frac{1}{2}}\ +\ 2\sqrt{\frac{3}{2}}\right))
Two vastly different things. Furthermore, you don't actually ask a question, tell us what you want, or tell us what it is that you are having difficulty understanding. It is really rather unfair of you to make us guess what you want.
But since I have to guess, I'll guess that you meant the first expression and that you want to find the product of the two binomials.
Note that 
so 
and 
So you actually have:
\left(\sqrt{t}\ +\ \sqrt{8}\right))
which is the product of a pair of binomial conjugates that results in the difference of two squares; recall (a\ +\ b)\ =\ a^2\ -\ b^2)
John
My calculator said it, I believe it, that settles it
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