Question

Rationalise the denominator of 3/2-√2​

Answer 1

Answer:

17+12√2

Step-by-step explanation:

We need to rationalise the denominator: So, we will multiply 3-2√2 by both the numerator and denominator. Hence, after rationalisation, we get that 17+12√2.

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Answer 2

Answer:

$\frac{3}{2 - \sqrt{2} } \times \frac{2 + \sqrt{2} }{2 + \sqrt{2} } \\ \\ \: formula \: (a - b)(a + b) = {a}^{2} - {b}^{2} \\ \frac{(3)(2 + \sqrt{2}) }{ {(2)}^{2} - { ( \sqrt{2} ) }^{2} } \\ \frac{6 + 3 \sqrt{2} }{4 - 2} \\ \frac{6 + 3 \sqrt{2} }{2}$

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