Question

Решите №169(2,6,9).№167(1,2).

Answer 1

167.
1) 1 - (√x)^3
2) (√a)^3  + 8

169.
2)(√a+√b)/(a√a + b√b)  =(√a+√b)/((√a)^3 + (√b)^3) = (√a+√b)/(√a+√b)(a - √ab + b) = = 1/(a - √ab + b) = (a - √ab + b)^ -1

Answer 2

можно картинкой и подробнее

Answer 3

$(1- sqrt{x} )(1+ sqrt{x} +x)=1-x sqrt{x} \ ( sqrt{m} - sqrt{n} )(m+n+ sqrt{mn} )=msqrt{m} -n sqrt{n}$

$frac{ sqrt{a}+ sqrt{b} }{a sqrt{a}+b sqrt{b} } = frac{ sqrt{a}+ sqrt{b} }{(sqrt{a}+ sqrt{b} )(a+b- sqrt{ab}) } =frac{ 1 }{a+b- sqrt{ab} }$

$frac{9-2 sqrt{3} }{3 sqrt{6}-2 sqrt{2} } = frac{ sqrt{3}(3 sqrt{3}-2) }{sqrt{2} (3 sqrt{3}-2 ) } = frac{ sqrt{3} }{sqrt{2} } = sqrt{1.5}$

$frac{( { sqrt{10}-1)^2-3} }{ sqrt{10}+ sqrt{3}-1 } = frac{ { (sqrt{10}-1- sqrt{3})(sqrt{10}-1+ sqrt{3}) } }{ sqrt{10}+ sqrt{3}-1 } =sqrt{10}-1- sqrt{3}$