To rationalize the denominator of the expression \frac{3}{2-\sqrt{3}}

naivlingr

naivlingr

Answered question

2021-11-09

To rationalize the denominator of the expression 323

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-11-10Added 108 answers

Step 1
Multiplying the numerator and the denominator with the conjugate,
323=323×2+32+3
323=(3)(2+3)(23)(2+3)
323=6+33(2)2(3)2 i.e. (a+b)(ab)=a2b2
323=6+3343 (Since square and square root are opposite operations, they cancel out)
323=6+33

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