Question

This question is for 24 points pls answer

if a=√3-√2/√3+√2 and b =√3+√2/√3-√2 then fund a^2+b^2 -5ab

Answer 1

Answer:

I hope this helps you

Step-by-step explanation:

please

follow

me

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√3

Answer 2

Answer:

93

Step-by-step explanation:

(i)

$Given: a = \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}} *\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$

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

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

$= (\sqrt{3}-\sqrt{2})^2$

$= 5 - 2\sqrt{6}$

(ii)

$Given: b = \frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}} *\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}$

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

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

$= (\sqrt{3}+\sqrt{2})^2$

$= 5+2\sqrt{6}$

Now,

a² + b² - 5ab

= (5 - 2√6)² + (5 + 2√6)² - 5(5 - 2√6)(5 + 2√6)

= 49 - 20√6 + 49 + 20√6 -  5[(5)² - (2√6)²]

= 98 - 5[25 - 24]

= 98 - 5

= 93

Hope it helps!