Question

What is the rationalization of 3/2-3√2

Answer 1

$\dfrac{3}{2 \: - \: 3 \sqrt{2} }$

________ [GIVEN]

• We have to find it's value by doing rationalize.

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=> $\dfrac{3}{2 \: - \: 3 \sqrt{2} }$

=> $\dfrac{3}{2 \: - \: 3 \sqrt{2} } \: \times \: \dfrac{2 \: + \: 3 \sqrt{2} }{2 \: + \: 3 \sqrt{2} }$

(a - b) (a + b) = a² - b²

=> $\dfrac{3(2 \: + \: 3 \sqrt{2}) }{ {(2)}^{2} \: - \: {(3 \sqrt{2}) }^{2} }$

=> $\dfrac{6 \: + \: 9 \sqrt{2} }{ 4 \: - \: 18 }$

=> $\dfrac{6 \: + \: 9 \sqrt{2} }{ - \: 14 }$

=> $\dfrac{-(6 \: + \: 9 \sqrt{2} )}{ 14 }$

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$\dfrac{-(6 \: + \: 9 \sqrt{2} )}{ 14 }$

__________ [ANSWER]

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