Răspuns:
a)
[tex]4 - \sqrt{7} + 3 - \sqrt{7} + 2 \sqrt{7} = 7 + 0 = 7[/tex]
b)
[tex] \sqrt{27} (8 \sqrt{3} - 6 \sqrt{3} + 5 \sqrt{3} - {3}^{2} \sqrt{3} )[/tex]
[tex] \sqrt{27} (8 \sqrt{3} - 6 \sqrt{3} + 5 \sqrt{3} - 9 \sqrt{3} )[/tex]
[tex] \sqrt{27} + ( - 2 \sqrt{3} )[/tex]
[tex] - 3 \sqrt{3} \times 2 \sqrt{3} = - 3 \times 3 \times 2 = - 18[/tex]
c)
[tex]( \frac{2 \sqrt{2} }{3} - \sqrt{ \frac{1} {5} } ) \times 3 \sqrt{6} ( \frac{2 \sqrt{3} }{3} - \frac{ \sqrt{3} }{10} ) \times \sqrt{6} - \sqrt{3} + \sqrt{2} [/tex]
[tex]2 \sqrt{12} - 3 \sqrt{ \frac{6}{5} } - ( \frac{2 \sqrt{18} }{3} - \sqrt{ \frac{18}{10} } ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]4 \sqrt{3} - 3 \times \frac{ \sqrt{6} }{ \sqrt{5} } - ( \frac{6 \sqrt{2} }{ 3} - \sqrt{ \frac{9}{5} } ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]4 \sqrt{3} - \frac{ 3 \sqrt{6} }{ \sqrt{5} } - (2 \sqrt{2} - \frac{3}{ \sqrt{5} } ) - \sqrt{3} - \sqrt{2} = 4 \sqrt{3 } - \frac{3 \sqrt{30} }{5} - (2 \sqrt{2} - \frac{3 \sqrt{5} }{5} ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]3 \sqrt{3} - \frac{3 \sqrt{30} }{5} - \sqrt{2} + \frac{3 \sqrt{5} }{5} = [/tex]
[tex]3 \sqrt{3} + \frac{ - 3 \sqrt{30 + 3 \sqrt{5} } }{5} - \sqrt{2} [/tex]
Sper că te-am ajutat!
Show life that you have a thousand reasons to smile
© Copyright 2024 DOKU.TIPS - All rights reserved.
Răspuns:
a)
[tex]4 - \sqrt{7} + 3 - \sqrt{7} + 2 \sqrt{7} = 7 + 0 = 7[/tex]
b)
[tex] \sqrt{27} (8 \sqrt{3} - 6 \sqrt{3} + 5 \sqrt{3} - {3}^{2} \sqrt{3} )[/tex]
[tex] \sqrt{27} (8 \sqrt{3} - 6 \sqrt{3} + 5 \sqrt{3} - 9 \sqrt{3} )[/tex]
[tex] \sqrt{27} + ( - 2 \sqrt{3} )[/tex]
[tex] - 3 \sqrt{3} \times 2 \sqrt{3} = - 3 \times 3 \times 2 = - 18[/tex]
c)
[tex]( \frac{2 \sqrt{2} }{3} - \sqrt{ \frac{1} {5} } ) \times 3 \sqrt{6} ( \frac{2 \sqrt{3} }{3} - \frac{ \sqrt{3} }{10} ) \times \sqrt{6} - \sqrt{3} + \sqrt{2} [/tex]
[tex]2 \sqrt{12} - 3 \sqrt{ \frac{6}{5} } - ( \frac{2 \sqrt{18} }{3} - \sqrt{ \frac{18}{10} } ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]4 \sqrt{3} - 3 \times \frac{ \sqrt{6} }{ \sqrt{5} } - ( \frac{6 \sqrt{2} }{ 3} - \sqrt{ \frac{9}{5} } ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]4 \sqrt{3} - \frac{ 3 \sqrt{6} }{ \sqrt{5} } - (2 \sqrt{2} - \frac{3}{ \sqrt{5} } ) - \sqrt{3} - \sqrt{2} = 4 \sqrt{3 } - \frac{3 \sqrt{30} }{5} - (2 \sqrt{2} - \frac{3 \sqrt{5} }{5} ) - \sqrt{3} + \sqrt{2} = [/tex]
[tex]3 \sqrt{3} - \frac{3 \sqrt{30} }{5} - \sqrt{2} + \frac{3 \sqrt{5} }{5} = [/tex]
[tex]3 \sqrt{3} + \frac{ - 3 \sqrt{30 + 3 \sqrt{5} } }{5} - \sqrt{2} [/tex]
Sper că te-am ajutat!