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If \(f(x) = x^2 - 3x + 4\), find the value of \(f(\sqrt3 - \sqrt2)\)

Guest Jul 12, 2017

Best Answer 

 #1
avatar+93654 
+3

If , find the value of 

f(x) = x^2 - 3x + 4

 

\(f(\sqrt3 - \sqrt2)\\ =(\sqrt3 - \sqrt2)^2-3(\sqrt3 - \sqrt2)+4\\ =3-2\sqrt6+2-3\sqrt3 +3\sqrt2+4\\ =9-2\sqrt6-3\sqrt3 +3\sqrt2\\\)

Melody  Jul 12, 2017
 #1
avatar+93654 
+3
Best Answer

If , find the value of 

f(x) = x^2 - 3x + 4

 

\(f(\sqrt3 - \sqrt2)\\ =(\sqrt3 - \sqrt2)^2-3(\sqrt3 - \sqrt2)+4\\ =3-2\sqrt6+2-3\sqrt3 +3\sqrt2+4\\ =9-2\sqrt6-3\sqrt3 +3\sqrt2\\\)

Melody  Jul 12, 2017
 #2
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0

Is there any way u can further simplify that answer

Guest Jul 12, 2017
 #3
avatar+93654 
+1

This cannot be simplified any further.

Melody  Jul 12, 2017

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