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Mathematics 7 Online
OpenStudy (anonymous):

√18/50 simplify

OpenStudy (anonymous):

someone help

OpenStudy (jdoe0001):

\(\bf \sqrt{\cfrac{18}{50}}?\)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

?

OpenStudy (jdoe0001):

\(\bf \sqrt{\cfrac{18}{50}}\qquad \qquad \begin{cases} 18\implies 2\cdot 3\cdot 3\implies 2\cdot 3^2\\ 25\implies 2\cdot 5\cdot 5\implies 2\cdot 5^2 \end{cases}\qquad thus \\ \quad \\ \sqrt{\cfrac{18}{50}}\iff\sqrt{\cfrac{2\cdot 3^2}{2\cdot 5^2}}\implies ?\) any ideas?

rebeccaxhawaii (rebeccaxhawaii):

OpenStudy (anonymous):

o.6

OpenStudy (anonymous):

0.6*

OpenStudy (jdoe0001):

notice, the idea is,to factor the value in the radical first, that way, you can see what you may be able to take out

OpenStudy (jdoe0001):

well.. are you supposed to give a decimal answer? as 0.6? or a fraction I mean, you could have gotten 0.6 from the original without doing anything else

OpenStudy (anonymous):

ohhhhh 3/5

OpenStudy (jdoe0001):

\(\sqrt{\cfrac{18}{50}}\qquad \qquad \begin{cases} 18\implies 2\cdot 3\cdot 3\implies 2\cdot 3^2\\ 25\implies 2\cdot 5\cdot 5\implies 2\cdot 5^2 \end{cases}\qquad thus \\ \quad \\ \sqrt{\cfrac{18}{50}}\iff\sqrt{\cfrac{2\cdot 3^2}{2\cdot 5^2}}\implies \cfrac{3\cancel{\sqrt{2}}}{5\cancel{\sqrt{2}}}\implies \cfrac{3}{5} \) yeap :)

OpenStudy (anonymous):

i have one more question

OpenStudy (jdoe0001):

tis easier to post anew, more eyes

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

thank you!

OpenStudy (jdoe0001):

yw

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