Răspuns :

Răspuns:

Explicație pas cu pas:

a)

2√2 +3√2 - 4√2 = √2

b)

3√5 +4√5-5√5 = 2√5

c)

3√3 +9√3 -6√3=6√3

d)

6√2 -7√2 +8√2 =7√2

a.

[tex] \sqrt{45} + \sqrt{20} - \sqrt{125} = \\ 3 \sqrt{5} + 2 \sqrt{5} - 5 \sqrt{5} = \\ 5 \sqrt{5} - 5 \sqrt{5} = \\ = 0[/tex]

b.

[tex] \sqrt{8} + \sqrt{18} - \sqrt{32} = \\ 2 \sqrt{2} + 3 \sqrt{2} - 4 \sqrt{2} = \\ 5 \sqrt{2} - 4 \sqrt{2} = \\ = \sqrt{2} [/tex]

c.

[tex] \sqrt{27} + \sqrt{243} + \sqrt{75} - \sqrt{108} = \\ 3 \sqrt{3} + 9 \sqrt{3} + 5 \sqrt{3} - 6 \sqrt{3} = \\ 12 \sqrt{3} + 5 \sqrt{3} - 6 \sqrt{3} = \\17 \sqrt{3} - 6 \sqrt{3} = 11 \sqrt{3} [/tex]

d.

[tex] \sqrt{72} - \sqrt{98} + \sqrt{128} = \\ 6 \sqrt{2} - 7 \sqrt{2} + 8 \sqrt{2} = \\ - \sqrt{2} + 8 \sqrt{2} = 7 \sqrt{2} [/tex]