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Mathematics 22 Online
OpenStudy (tennistar):

Simple radical question

OpenStudy (tennistar):

\[\sqrt{6x}\times \sqrt{15x}\]

OpenStudy (tennistar):

what happens?

OpenStudy (anonymous):

Hello

OpenStudy (tennistar):

Hello

mathslover (mathslover):

remember always that : \[\sqrt{a}*\sqrt{b}=\sqrt{ab}\] can u do this now ?

mathslover (mathslover):

try to convert it into this form \(\sqrt{ab}\)

OpenStudy (anonymous):

Maybe

mathslover (mathslover):

a = 6x and b = 15x .

OpenStudy (tennistar):

yes but what I dont get is what happens with the x

OpenStudy (anonymous):

Not sure

mathslover (mathslover):

\[\sqrt{6x*15x}=\sqrt{9*10*x^2}\] right ?

OpenStudy (tennistar):

\[x ^{2}?

OpenStudy (anonymous):

Don't no

OpenStudy (tennistar):

how did you get 9 and 10

OpenStudy (tennistar):

Welcome to Openstudy(Op) @killer-DonzZ

OpenStudy (anonymous):

Added it

OpenStudy (anonymous):

Ok

mathslover (mathslover):

15*6=(3*5)*(2*3)=\(3^2\)*5*2=9*10 got it ?

OpenStudy (tennistar):

ok got it but x becomes x^2?

OpenStudy (anonymous):

Thank you tennistar

mathslover (mathslover):

no.. \[\sqrt{a}=a^{\frac{1}{2}}\] \[\sqrt{x^2}=x^2{\frac{1}{2}}=x^{2*\frac{1}{2}}=x^1=x\]

mathslover (mathslover):

remember also that :\([a^m]^n=a^{mn}\)

OpenStudy (tennistar):

so my whole questions is \[3\sqrt{6x}*2\sqrt{15x}\] is \[18x \sqrt{10}\]

OpenStudy (tennistar):

right?

mathslover (mathslover):

gr8 very right

OpenStudy (tennistar):

thanks

mathslover (mathslover):

ur welcome

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