SOLUTION: SIMPLIFY
THE SQUARE ROOT OF 10 -2/THE SQUARE ROOT OF 10 + 3 =
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Question 193955: SIMPLIFY
THE SQUARE ROOT OF 10 -2/THE SQUARE ROOT OF 10 + 3 =
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
In the first place, why are you shouting at us? All CAPS is the electronic communications equivalent of shouting, and is both rude and annoying.
Simplest form requires taking the radical out of the denominator. Simply squaring the denominator won't do because you would still have a radical term because:
^2 = a^2 + ab + b^2)
However, multiplying the denominator by its conjugate, namely 
, works because that results in the difference of two squares, thus:
(a - b) = a^2 - b^2)
But you can't just multiply the denominator by something without changing the value of the rational expression. You need to multiply by 1 in the form of 
, thus:
\left(\frac{\sqrt{10}-3}{\sqrt{10}-3}\right))
Apply FOIL to the numerator, and the difference of two squares result to the denominator:
John
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