Question

помогите,алгебра ,желательно всё​

Answer 1

$1)\ \ \sqrt{300}=10\sqrt3\ \ ,\ \ \ \sqrt{2\dfrac{1}{40}}=\dfrac{9}{2\sqrt{10}}\ \ ,\ \ \ \sqrt{27b}=3\sqrt{3b}\ \ ,\\\\\\\sqrt{169a^6x^3}=13\cdot |a^3|\cdot |x|\, \sqrt{x}=13\cdot |a^3|\cdot x\, \sqrt{x}\\\\\\2)\ \ 3\sqrt{11}=\sqrt{99}\ \ ,\ \ -2\sqrt6=-\sqrt{24}\ \ ,\ \ 5a\sqrt{a}=\sqrt{25a^3}\ \ ,\ \ 2x^2\sqrt{3x}=\sqrt{12x^5}$

$3)\ \ M=3\sqrt{54}\ \ ,\ \ N=5\sqrt{24}\\\\M=\sqrt{486}\ \ ,\ \ N=\sqrt{600} \\\\486<600\ \ \ \ \Rightarrow \ \ \ \ \sqrt{486}<\sqrt{600}\ \ \ \Rightarrow \ \ \ M<N$