Odpowiedź:
= 3*[tex]\sqrt{4*6} + 3*\sqrt{25*6} - \sqrt{6} = 3*2\sqrt{6} + 3*5\sqrt{6} - \sqrt{6} =[/tex]
[tex]= 6\sqrt{6} +15\sqrt{6} - \sqrt{6} = 20\sqrt{6}[/tex]
Szczegółowe wyjaśnienie:
[tex]\sqrt{25*6} = \sqrt{25} *\sqrt{6} = 5\sqrt{6}[/tex]
[tex]3\sqrt{24}+3\sqrt{150}-\sqrt{6}=\sqrt{4*6}+3\sqrt{25*6}-\sqrt{6}=\\\\=3\sqrt{4}*\sqrt{6}+3\sqrt{25}*\sqrt{6}-\sqrt{6}=3*2\sqrt{6}=3*5\sqrt{6}-\sqrt{6}=\\\\=6\sqrt{6}+15\sqrt{6}-\sqrt{6}=21\sqrt{6}-\sqrt{6}=20\sqrt{6}\\\\ liczbe\ \sqrt{24}\ mozna\ rozlozyc: \\\\ \sqrt{24}=\sqrt{4*6}=\sqrt{4}*\sqrt{6}=2\sqrt{6}\\\\ liczbe\ \sqrt{150}\ mozna\ rozlozyc: \\\\ \sqrt{150}= \sqrt{25*6}=\sqrt{25}*\sqrt{6}=5\sqrt{6} \\\\podstawiamy,\ wykonujemy\ dzialania[/tex]
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Odpowiedź:
= 3*[tex]\sqrt{4*6} + 3*\sqrt{25*6} - \sqrt{6} = 3*2\sqrt{6} + 3*5\sqrt{6} - \sqrt{6} =[/tex]
[tex]= 6\sqrt{6} +15\sqrt{6} - \sqrt{6} = 20\sqrt{6}[/tex]
Szczegółowe wyjaśnienie:
[tex]\sqrt{25*6} = \sqrt{25} *\sqrt{6} = 5\sqrt{6}[/tex]
[tex]3\sqrt{24}+3\sqrt{150}-\sqrt{6}=\sqrt{4*6}+3\sqrt{25*6}-\sqrt{6}=\\\\=3\sqrt{4}*\sqrt{6}+3\sqrt{25}*\sqrt{6}-\sqrt{6}=3*2\sqrt{6}=3*5\sqrt{6}-\sqrt{6}=\\\\=6\sqrt{6}+15\sqrt{6}-\sqrt{6}=21\sqrt{6}-\sqrt{6}=20\sqrt{6}\\\\ liczbe\ \sqrt{24}\ mozna\ rozlozyc: \\\\ \sqrt{24}=\sqrt{4*6}=\sqrt{4}*\sqrt{6}=2\sqrt{6}\\\\ liczbe\ \sqrt{150}\ mozna\ rozlozyc: \\\\ \sqrt{150}= \sqrt{25*6}=\sqrt{25}*\sqrt{6}=5\sqrt{6} \\\\podstawiamy,\ wykonujemy\ dzialania[/tex]