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Mathematics 6 Online
OpenStudy (safari321):

HELP! PLEASE

OpenStudy (safari321):

\[-6\sqrt{15s ^{3}}\times2\sqrt{75}\]

OpenStudy (anonymous):

so is this true that -6 x 2 = -12, and \[\sqrt{15s^3} . \sqrt{75} => \sqrt{15s^3 . 15 . 5 }\]

OpenStudy (safari321):

So from here how I can simplify ?

OpenStudy (anonymous):

Yes actually you can. since sqrt of 15x15 = 15 itself, we would get, \[-12 . 15 \sqrt{5s^3}\]

OpenStudy (anonymous):

which is -180 sqrt 5s^3.

OpenStudy (safari321):

ohhh okay I get it now thank you

OpenStudy (safari321):

okk can u help me on another one please?

OpenStudy (anonymous):

yeah ask

OpenStudy (safari321):

\[10\sqrt{12x ^{3}}\times 2\sqrt{16x ^{3}}\]

OpenStudy (anonymous):

Ok. 10x2 = 20, and \[\sqrt{x^3} . \sqrt{x^3} = \sqrt{(x^3)^2} => x^3.\]

OpenStudy (anonymous):

also \[\sqrt{12} . \sqrt{16} = \sqrt{12 x 4 x 4 } => 4\sqrt{12}\]

OpenStudy (anonymous):

Hence, ans = \[20x^3. 4 \sqrt{12} => 80x^3\sqrt{12}\]

OpenStudy (anonymous):

and if u want it further simplified - \[\sqrt{12} = \sqrt{4x3} => 2\sqrt{3}\]

OpenStudy (safari321):

ok I get lost on this every time why the equation become \[4\sqrt{12}\]

OpenStudy (anonymous):

Ok. @safari321 Is it true that - \[\sqrt{12} . \sqrt{16} = \sqrt{12 } . \sqrt{4x4} ?\]

OpenStudy (safari321):

yes

OpenStudy (anonymous):

\[\sqrt{4x4 } = 4 ?\]

OpenStudy (safari321):

doesn't it equal 16?

OpenStudy (anonymous):

and what is \[\sqrt{16} = ?\]

OpenStudy (anonymous):

16 is a perfect square so it would have a whole number square root, right?

OpenStudy (safari321):

oh yeah the square root sorry

OpenStudy (anonymous):

Hence \[\sqrt{12} . \sqrt{16} => \sqrt{12} . 4 => 4\sqrt{12} .\]

OpenStudy (safari321):

yes I now get that part

OpenStudy (anonymous):

Yes. actually \[80x^3\sqrt{12}\]

OpenStudy (anonymous):

can be further simplified. \[\sqrt{12} => \sqrt{4.3} => 2.\sqrt{3}\]

OpenStudy (anonymous):

So best simplified answer - \[80x^3.2\sqrt{3} => 160x^3\sqrt{3}\]

OpenStudy (safari321):

ohhhh ok than you so much @luckythebest

OpenStudy (anonymous):

yes np :)

OpenStudy (safari321):

:) I just might pass my test thanks to you

OpenStudy (anonymous):

lol i would say prep hard, do your best and have confidence in yourself. you would do much better than passing then :)

OpenStudy (safari321):

:) ok thanks again

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