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√6•√2+√10•√5+√15•√5+√20•√4

Răspuns :

=√12+√50+√75+√80=

= 2√3+5√2+5√3+4√5

√a • √b= √a•b

[tex] \sqrt{6} \times \sqrt{2} + \sqrt{10} \times \sqrt{5} + \sqrt{20} \times \sqrt{4} [/tex]

[tex] \sqrt{18} + \sqrt{50} + \sqrt{80} [/tex]

[tex]3 \sqrt{2} + 5 \sqrt{2} + 2 \sqrt{20} [/tex]

[tex] \sqrt{2} (3 + 5 + 2)[/tex]

[tex]10 \sqrt{2} [/tex]