Which of the following is equal to [1/(√3-√2)]^2?
A. 1
B. 5
C. √6
D. 5 - √6
E. 5 + 2√6
Hi,
my answer was 5 + 2√6 / -19 .... not even in the choice. can anyone help?
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[1/(√3-√2)]^2
To rationalize, multiply numerator and denominator with (√3+√2).
Denominator will equal 1, (√3-√2) * (√3+√2), Formula used [(a+b)*(a-b) = a2 - b2]
Numerator will equal (√3+√2)
[1/(√3-√2)]^2 = [(√3+√2)/1] ^2
Or, = 3 + 2 + 2*√3*√2 = 5 + 2√6,
Choice E.
To rationalize, multiply numerator and denominator with (√3+√2).
Denominator will equal 1, (√3-√2) * (√3+√2), Formula used [(a+b)*(a-b) = a2 - b2]
Numerator will equal (√3+√2)
[1/(√3-√2)]^2 = [(√3+√2)/1] ^2
Or, = 3 + 2 + 2*√3*√2 = 5 + 2√6,
Choice E.
