HELP! PLEASE
\[-6\sqrt{15s ^{3}}\times2\sqrt{75}\]
so is this true that -6 x 2 = -12, and \[\sqrt{15s^3} . \sqrt{75} => \sqrt{15s^3 . 15 . 5 }\]
So from here how I can simplify ?
Yes actually you can. since sqrt of 15x15 = 15 itself, we would get, \[-12 . 15 \sqrt{5s^3}\]
which is -180 sqrt 5s^3.
ohhh okay I get it now thank you
okk can u help me on another one please?
yeah ask
\[10\sqrt{12x ^{3}}\times 2\sqrt{16x ^{3}}\]
Ok. 10x2 = 20, and \[\sqrt{x^3} . \sqrt{x^3} = \sqrt{(x^3)^2} => x^3.\]
also \[\sqrt{12} . \sqrt{16} = \sqrt{12 x 4 x 4 } => 4\sqrt{12}\]
Hence, ans = \[20x^3. 4 \sqrt{12} => 80x^3\sqrt{12}\]
and if u want it further simplified - \[\sqrt{12} = \sqrt{4x3} => 2\sqrt{3}\]
ok I get lost on this every time why the equation become \[4\sqrt{12}\]
Ok. @safari321 Is it true that - \[\sqrt{12} . \sqrt{16} = \sqrt{12 } . \sqrt{4x4} ?\]
yes
\[\sqrt{4x4 } = 4 ?\]
doesn't it equal 16?
and what is \[\sqrt{16} = ?\]
16 is a perfect square so it would have a whole number square root, right?
oh yeah the square root sorry
Hence \[\sqrt{12} . \sqrt{16} => \sqrt{12} . 4 => 4\sqrt{12} .\]
yes I now get that part
Yes. actually \[80x^3\sqrt{12}\]
can be further simplified. \[\sqrt{12} => \sqrt{4.3} => 2.\sqrt{3}\]
So best simplified answer - \[80x^3.2\sqrt{3} => 160x^3\sqrt{3}\]
ohhhh ok than you so much @luckythebest
yes np :)
:) I just might pass my test thanks to you
lol i would say prep hard, do your best and have confidence in yourself. you would do much better than passing then :)
:) ok thanks again
Join our real-time social learning platform and learn together with your friends!