Mathematics for IGCSE & O level - Surds (Section 2 - No. 15)
What expression is obtained when rationalizing the denominator of (2+√3)/(2-√3) ?
7+4√3
1+4√3
7-4√3
1-4√3
Explanation
To rationalize the denominator, multiply both the numerator and denominator by (2+√3). ((2+√3)/(2-√3)) * ((2+√3)/(2+√3)) = (4 + 4√3 + 3) / (4 - 3) = 7 + 4√3
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