Question

ПОМОГИТЕ СРОЧНО!!!! ВСЕ БАЛЛЫ ОТДАМ. ​

Answer 1

$6.1) frac{c-36}{sqrt{c}-6} = frac{(c-36)(sqrt{c}+6)}{(sqrt{c}-6)(sqrt{c}+6)} = frac{(c-36)(sqrt{c}+6)}{c-36} = sqrt{c} + 6\\\6.2) frac{7+3sqrt{7}}{sqrt{7}} = frac{(7+3sqrt{7})sqrt{7}}{7} = frac{7sqrt{7}+3cdot7}{7} = frac{7sqrt{7}+21}{7} = sqrt{7} + 3\\\6.3) frac{b-4}{b+4sqrt{b}+4} = frac{(sqrt{b}-2)(sqrt{b}+2)}{(sqrt{b}+2)(sqrt{b}+2)} = frac{sqrt{b}-2}{sqrt{b}+2}$

$7.1) frac{12}{7sqrt{3}} = frac{12cdot sqrt{3}}{7sqrt{3} cdot sqrt{3}} = frac{12sqrt{3}}{21} = frac{4sqrt{3}}{7}\\\7.2) frac{18}{sqrt{7}+1} = frac{18 cdot (sqrt{7}-1)}{(sqrt{7}+1)(sqrt{7}-1)} = frac{18sqrt{7} - 18}{7-1} = frac{18sqrt{7}-18}{6} = 3sqrt{7} - 3 = 3(sqrt{7} - 1)$

$8.1) sqrt{7y^2} = -ysqrt{7}\\8.2) sqrt{32a^8} = 4a^4sqrt{2}\\8.3) sqrt{-b^{15}} =(b^7sqrt{-b})\\ 8.4)sqrt{-x^{14}y^3} = -x^7ysqrt{y}$

$9) sqrt{(5-sqrt{12})^2} + sqrt{(3-sqrt{12})^2} = 5-sqrt{12} + 3-sqrt{12} = 8 - 2sqrt{12}$