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6. 81v2/18v5=

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Sagot :

Problem:

[tex]\[\frac{{81\sqrt 2 }}{{18\sqrt 5 }}\][/tex]

Solution:

[tex]\[\begin{array}{l} = \frac{{9 \bullet 9\sqrt 2 }}{{9 \bullet 2\sqrt 5 }}\\\\ = \frac{{9\sqrt 2 }}{{2\sqrt 5 }}\\\\ = \frac{{9\sqrt 2 }}{{2\sqrt 5 }} \bullet \frac{{2\sqrt 5 }}{{2\sqrt 5 }}\\\\ = \frac{{9\sqrt {10} }}{{2 \bullet 5}}\\\\ = \frac{{9\sqrt {10} }}{{10}}\end{array}\][/tex]

Answer:

[tex]\[ = \frac{{9\sqrt {10} }}{{10}}\][/tex]

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