Question

помогите пожалуйста алгебра даю 50 баллов​

Answer 1

$1)\ a)\ 16<17<25\ \ \to \ \ \sqrt{16}<\sqrt{17}<\sqrt{25}\ \ \to \ \ \ 4<\sqrt{17}<5\\\\b)\ 9<11<16\ \ \to \ \ \sqrt{9}<\sqrt{11}<\sqrt{16}\ \ \to \ \ \ 3<\sqrt{11}<4\ \ \to\\\\3-3<\sqrt{11}-3<4-3\ \ \to \ \ \ 0<\sqrt{11}-3<1$

$2)\ \ \sqrt{25a}+\sqrt{16a}-\sqrt{64a}=5\sqrt{a}+4\sqrt{a}-8\sqrt{a}=\sqrt{a}\\\\\\3)\ \ -8\sqrt7=-\sqrt{448}\ \ ;\ \ +20\sqrt2=\sqrt{800}\ \ ;\ \ -22\sqrt5=-\sqrt{2420}\\\\-\sqrt{2420}<-\sqrt{448}<\sqrt{800}\ \ \to \ \ \ -22\sqrt5<-8\sqrt7<20\sqrt2$

$4)\ \ (4\sqrt5-3\sqrt{20})\cdot \sqrt5+\sqrt{900}=4\cdot \sqrt{25}-3\cdot \sqrt{100}+\sqrt{9\cdot 100}=\\\\=4\cdot 5-3\cdot 10+3\cdot 10=4\cdot 5=20$