Question

doprowadź do postaci [tex]a\sqrt{b}[/tex] .

Answer 1

a)

[tex]7\sqrt{5}+\sqrt{20}=\\\\7\sqrt{5}+\sqrt{4*5}=\\\\7\sqrt{5}+2\sqrt{5}=9\sqrt{5}\\[/tex]

b)

[tex]\sqrt{48}-\sqrt{27}=\\\\\sqrt{16*3}-\sqrt{9*3}=\\\\4\sqrt{3}-3\sqrt{3}=\sqrt{3}\\[/tex]

c)

[tex]\sqrt{12}+\sqrt{75}=\\\\\sqrt{4*3}+\sqrt{25*3}=\\\\2\sqrt{3}+5\sqrt{3}=7\sqrt{3}\\[/tex]

d)

[tex]\sqrt{45}-\sqrt{125}=\\\\\sqrt{9*5}-\sqrt{25*5}=\\\\3\sqrt{5}-5\sqrt{5}=-2\sqrt{5}\\[/tex]