SOLUTION: I am having trouble with some problems. I do not know how to enter a square root symbol on the computer so I will just put square root in words. If there is a better way to do it p

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am having trouble with some problems. I do not know how to enter a square root symbol on the computer so I will just put square root in words. If there is a better way to do it p      Log On


   



Question 213473: I am having trouble with some problems. I do not know how to enter a square root symbol on the computer so I will just put square root in words. If there is a better way to do it please e-mail me back to let me know. Thank You.
MULTIPLY RADICAL EXPRESSION
(square root of 14 +7)(square root of 14 -7)

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(square root of 14 +7)(square root of 14 -7)
-------------------
[sqrt(14) + 7][sqrt(14) - 7]
Use FOIL:
F: sqrt(14)*sqrt(14) = 14
O: -7sqrt(14)
I: -7sqrt(14)
L: 7*-7 = -49
-------------------
Combine to get:
-35 - 14sqrt(14)
======================
Cheers,
Stan H.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
MULTIPLY RADICAL EXPRESSION
(square root of 14 +7)(square root of 14 -7)

%28sqrt%2814%29+%2B+7%29%28sqrt%2814%29+-+7%29

Use FOIL to expand.

Foiling, we get: %28sqrt%2814%29%29%5E2+-+7%2Asqrt%2814%29+%2B+7%2Asqrt%2814%29+-+49 = %28sqrt%2814%29%29%5E2+-+49*

* Since this product represents a DOTS, or Difference Of Two Squares, it can also be written as %28sqrt%2814%29%29%5E2+-+7%5E2

Since %28sqrt%2814%29%29%5E2 in %28sqrt%2814%29%29%5E2+-+49 = 14, we will have (14 - 49), which equals highlight_green%28-+35%29