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5radical3+3×{4radical2+4[3radical3+2(radical3-3radical2)]}÷20​

Răspuns :

5radical3 + 3×{4radical2 + [3radical3 + 2(radical3 - 3radical2)]}=

=5radical3+3×[4radical2+4(3radical3+2radical3-6radical2)]=

=5radical3+3×(4radical2+12radical3+8radical3-24raducal2)

[tex]5 \sqrt{3 } + 3 \times (4 \sqrt{2} + 12 \sqrt{3} + 8 \sqrt{3} - 24 \sqrt{2} )[/tex]

[tex]5 \sqrt{3} + 3 \times (20 \sqrt{3} - 2 0 \sqrt{2} )[/tex]

[tex]5 \sqrt{3 } +60 \sqrt{3} - 60 \sqrt{2} [/tex]

[tex]60( \sqrt{3} - \sqrt{2} ) + 5 \sqrt{3} [/tex]