If \(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})} = ...
If (2√3−√2)(√3+2√2)=m+n√6, find the values of m and n respectively.
1, -2
-2, 1
−25, 1
2, 3/5
Correct answer is B
Rationalize (2√3−√2)(√3+2√2) and equate to m+n√6. Such that m = -2, and n = 1.
Use √3−2√2 as the conjugate for Rationalization
(2√3−√2)(√3+2√2) X (√3−2√2)(√3−2√2)
6−4√6−√6+43−2√6+2√6−8
=10−5√6−5
= -2 + √6
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