Question

Срочно помогите пж!!!!!!!!!!

Answer 1

7.

$1) \frac{18}{8 \sqrt{2} } = \frac{18}{8 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{18 \sqrt{2} }{8 \times 2} = \frac{18 \sqrt{2} }{16} = \frac{9 \sqrt{2} }{8}$

$2) \frac{4}{ \sqrt{3} + 2} = \frac{4}{ \sqrt{3} + 2} \times \frac{ \sqrt{3} - 2}{ \sqrt{3} - 2} = \frac{4( \sqrt{3} - 2) }{( \sqrt{3} + 2)( \sqrt{3} - 2) } = \frac{4 \sqrt{3} - 8}{3 - 4} = \frac{4 \sqrt{3} - 8}{ - 1} = - 4\sqrt{3} + 8$

8.

$1) \sqrt{10x {}^{2} } = x \sqrt{10x}$

$2) \sqrt{108a {}^{16} } = \sqrt{4 \times 27a {}^{16} } = 2a {}^{8} \sqrt{27a {}^{8} }$

$3) \sqrt{11a {}^{2} } = a \sqrt{11a}$