Question

ex 11 si 14 va rog frumos ​

Answer 1

Răspuns:

Ex14

A) a=

$\sqrt{3} - 1 + 4 - \sqrt{3}$

$- 1 + 4 = 3$

$b = \frac{2}{2 + 2 \sqrt{2} + 1 } + 4 + 4 \sqrt{2} + 2$

$b = \frac{2}{3 + 2 \sqrt{2} } + 4 + 4 \sqrt{2} + 2$

$b = 2(3 - 2 \sqrt{2} ) + 4 + 4 \sqrt{2} + 2$

$b = 6 - 4 \sqrt{2} + 4 + 4 \sqrt{2}$

$b = 6 + 4 + 2$

$b = 12$

B)

$a = 3 \sqrt{2} + \sqrt{5} - \sqrt{18} + 1$

$a = 3 \sqrt{2} + \sqrt{5} - 3 \sqrt{2} + 1$

$a = \sqrt{15} + 1$

$b = \sqrt{7} - \sqrt{5} - ( \sqrt{7} - 2 \sqrt{5} ) - 1$

$\sqrt{7} - \sqrt{5} - \sqrt{7} + 2 \sqrt{5} + 1$

$- \sqrt{5} + 2 \sqrt{5 - 1}$

$b = \sqrt{5} - 1$