Question

Розкладіть на множники вираз:​

Answer 1

1) $5+\sqrt{5}= (\sqrt{5})^2+\sqrt{5}=\sqrt{5}*(\sqrt{5}+1)$

$2) 7-2\sqrt{7}= (\sqrt{7})^2-2\sqrt{7}=\sqrt{7}*(\sqrt{7}-2)$

$3)\sqrt{x}-x=\sqrt{x} -(\sqrt{x} )^2=\sqrt{x}*(1-\sqrt{x})$

$4) t-2\sqrt{t}= (\sqrt{t})^2-2\sqrt{t}=\sqrt{t}*(\sqrt{t}-2)$

$5)\sqrt{m}-\sqrt{3m}= \sqrt{m}-\sqrt{3}*\sqrt{m} = \sqrt{m}*(1-\sqrt{3})$

$6)\sqrt{5p}+\sqrt{4p}= \sqrt{5}*\sqrt{p} +\sqrt{4}*\sqrt{p} = \sqrt{p}*(\sqrt{5}+2)$

$7) \sqrt{21}-\sqrt{7}= \sqrt{7*3}-\sqrt{7}= \sqrt{7}*(\sqrt{3}-1)$

$8) \sqrt{6}+\sqrt{10}= \sqrt{2*3}+\sqrt{2*5}= \sqrt{2}*(\sqrt{3}+\sqrt{5} )$