Question
Asked Aug 28, 2019
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rationalize the denominator of 3/(2+square root 3)

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Expert Answer

Step 1

We need to rationalize the given expression

3
23
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3 23

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Step 2

Now,

...
3(2 V3)
(2+ 3)(2 3)
2 3
(Multiplying by (2 - V3) in the both numerator and denominator)
6 3v3
=
4 3
(Using the formula (a - b)(a + b) = a2 - b2)
3
6 3v3
>
23
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3(2 V3) (2+ 3)(2 3) 2 3 (Multiplying by (2 - V3) in the both numerator and denominator) 6 3v3 = 4 3 (Using the formula (a - b)(a + b) = a2 - b2) 3 6 3v3 > 23

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Math

Algebra

Polynomials

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