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Mathematics 9 Online
OpenStudy (anonymous):

Simplify 10/sqrt2

OpenStudy (mother_trucker):

\[10^{2}\]

OpenStudy (anonymous):

thats not it

OpenStudy (anonymous):

OpenStudy (mother_trucker):

\[10/\sqrt{2}\]

OpenStudy (anonymous):

thats what i need simplified

geerky42 (geerky42):

\(\dfrac{10}{\sqrt2} = \dfrac{10}{\sqrt2}\cdot1 = \dfrac{10}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2} = \ldots~?\)

geerky42 (geerky42):

basically, you just multiply numerator and denominator by \(\sqrt2\)

geerky42 (geerky42):

so you wouldn't have root in denominator anymore.

geerky42 (geerky42):

Can you simplify \(\dfrac{10}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\) ? @ajvila98

OpenStudy (anonymous):

would it be 10sqrt2

geerky42 (geerky42):

for numerator, yes, but what about denominator?

OpenStudy (anonymous):

/1

geerky42 (geerky42):

\(\sqrt2\cdot\sqrt2=1\) ?

OpenStudy (anonymous):

im sorry i meant 2 lol

OpenStudy (anonymous):

@geerky42

geerky42 (geerky42):

yeah, so you now have \(\large \dfrac{10\sqrt2}{2}\), which simplified to...?

OpenStudy (anonymous):

5sqrt2

geerky42 (geerky42):

yep, good job, here's your medal

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