Question

(3-2✓2)/(3+2✓2)

please help me...​

Answer 1

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$⟹ \frac{3 - 2\sqrt{2} }{3 + 2\sqrt{2} }$

Rationalise the denominator by multiplying 3-2√2 by both the numerator and denominator.

$⟹\frac{3 - 2\sqrt{2} }{3 + 2\sqrt{2} } \times \frac{3 - 2\sqrt{2} }{3 - 2\sqrt{2} }$

$⟹\frac{ {(3 - 2\sqrt{2}) }^{2} }{(3 + 2\sqrt{2} )(3 - 2 \sqrt{2} )}$

• (a - b)² = a² + b² - 2ab
• (a + b)(a - b) = a² - b²

$⟹\frac{ {(3)}^{2} + { (2\sqrt{2}) }^{2} - 2(3)( 2\sqrt{2}) }{ {(3)}^{2} - { (2\sqrt{2}) }^{2} }$

$⟹\frac{9 + 8 - 12 \sqrt{2} }{9 - 8}$

$⟹17 + 12 \sqrt{2}$

$\boxed{∴ \frac{3 - 2 \sqrt{2} }{3 + 2 \sqrt{2} } = 17 + 12 \sqrt{2} }$

Step-by-step explanation:

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Answer 2

refer pic Above please