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Mathematics 13 Online
OpenStudy (anonymous):

can √5 • √5k ?

OpenStudy (anonymous):

help me plz

OpenStudy (unklerhaukus):

do you mean \(\sqrt 5\cdot\sqrt{5k}\)? or \(\sqrt 5\cdot\sqrt{5}k\)?

OpenStudy (anonymous):

the first one

OpenStudy (unklerhaukus):

the square root of a product is equal to the product of the square roots \[\sqrt{5k}=\sqrt5\cdot\sqrt k\] so you have \[\sqrt5\cdot\sqrt{5k}\\=\sqrt5\cdot\sqrt{5}\cdot\sqrt{k}\\=(\sqrt5\cdot\sqrt{5})\cdot\sqrt{k}\\=\quad\dots \]

OpenStudy (anonymous):

it equal to 5√k ?

OpenStudy (anonymous):

\[5\sqrt{k}\]

OpenStudy (unklerhaukus):

YEs!

OpenStudy (anonymous):

ok thanks

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