Question

eu preciso dos cálculooos

Answer 1

9.

${( \sqrt{3} - 1)}^{2} + \sqrt{3} = \\ ( \sqrt{9} + 1) + \sqrt{3} = \\ 3 + 1 + \sqrt{3} = 4 + \sqrt{3}$

10.

$a = 9 + \sqrt{6} \\ b = 9 - \sqrt{6}$

A.

${a}^{2} + {b}^{2} = \\ {( 9 + \sqrt{6}) }^{2} + {(9 - \sqrt{6} )}^{2} = \\ (81 + 6) + (81 - 6) = \\ 81 + 6 + 81 - 6 = 162$

B.

${a}^{2} - {b}^{2} = \\ {(9 + \sqrt{6)} }^{2} - {(9 - \sqrt{6} )}^{2} = \\ 81 + 6 - (81 - 6) = \\ 81 + 6 - 81 + 6 = 12$

11)

${(3 + 2 \sqrt{5}) }^{2} - \sqrt{720} - 18 = \\ 9 + 4 \times 5 - 12 \sqrt{5} - 18 = \\ 9 + 20 - 12 \sqrt{5} - 18 = \\ 29 - 12 \sqrt{5} - 18 = 11 - 12 \sqrt{5}$

12.

$x = 3 + \sqrt{2}$

A.

${x}^{2} - 6 \sqrt{2} = \\ {(3 + \sqrt{2}) }^{2} - 6 \sqrt{2} = \\ 9 + 2 - 6 \sqrt{2} = 11 - 6 \sqrt{2}$