SOLUTION: Simplify the expression {{{(2+sqrt(3))*(2-sqrt(3))}}}.

Question 596807: Simplify the expression .
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Simplify the expression .
Hi, there--
.
We use the distributive property (of multiplication over addition) is solve this. You are multiplying two expressions together. Each expression has two terms.
.
First, distribute the 2 in the first expression over each term in the second expression. Then multiply the square root of 3 is the first expression by each term in the second expression.
.
You will end up with four one-term expressions added together.

.
Now, we simplify.
.

.
Notice that a positive square root of 3 times a negative square root of 3 is a negative square root of 9 which is -3.
.
Combine terms. Notice that the second and third terms cancel out because they are the same value (two times the square root of 3), but opposite signs.
.

.
That's it! There are a few complicated algebra moves were. Feel free to email at the address below if you're not quite sure what I did.
.
Ms.Figgy
math.in.the.vortex@gmail.com

RELATED QUESTIONS
Simplify the expression 3/ sqrt 7-sqrt... (answered by Alan3354)

simplify {{{sqrt(2)sqrt(3)}}} (answered by jim_thompson5910)

Simplify the expression \frac{3}{\sqrt{2}} * \frac{1}{\sqrt{8}} *... (answered by mccravyedwin)

Simplify... (answered by nerdybill)

simplify:-3 sqrt 2 + 2 sqrt... (answered by JimboP1977)

Simplify: 2 sqrt 12 + sqrt... (answered by Earlsdon)

simplify the complex fraction: sqrt((1-sqrt(3)/2)/2) (answered by josgarithmetic)

simplify sqrt 4/3 + sqrt 6/sqrt 2 - 4 sqrt 2/ sqrt 6 the / represents division. I... (answered by jsmallt9)

simplify the following radical expression: 3 sqrt () -216x^2/x^2 a) sqrt() -6x b)-6 (answered by rapaljer)