Helllpp Please .. simplify the radical expression. -3√180h^2
What this "h" means?
its just a variable
someone helpp pleasee !
well that was wrong \[180=9\times 4\times 5\] so \[\sqrt{180}=\sqrt{9\times 4\times 5}=\sqrt{9}\times \sqrt{4}\times \sqrt{5}=3\times 2\times \sqrt{5}=6\sqrt{5}\]
also \(\sqrt{h^2}=h\) so long as \(h\) is positive
but \[6\sqrt{5}\] isnt a answer for the quiz :/
yes i see i ignored the \(-3\) out front not sure how the \(h\) becomes a \(p\) though
you can finish it i am sure
nevermind i looked at the wrong question sorry ! its either A. \[6\sqrt{5h ^{4}}\] B. \[-18\sqrt{5h ^{4}}\] C. \[-18h ^{2}\sqrt{5}\] D. \[-3h \sqrt{90}\]
maybe the original question is wrong, or maybe i read it incorrectly i read \[-3\sqrt{180h^2}\] and the answer is none of these
Are you sure you posted the right question?
question right*
ohh sorry guys im new to this it is \[-3\sqrt{180h ^{4}}\]
it's okay.
\[\sqrt{180h^4}= \sqrt{9\times4\times5 \times h^4}\] \[\sqrt4, \sqrt9 and \sqrt h^4\] are all perfect squares. Can you give me the answer for each one of them? :)
\[\sqrt{h^4}\] *
\[\sqrt{4} = 2 \] \[\sqrt{9} = 3 \] i dont know what this would be \[\sqrt{h}^{4}\]
oh i see now \(\sqrt{h^4}=\sqrt{(h^2)^2}=h^2\)
im confused
easier to think : two goes in to four twice
is it one of the answers i posted though ?
lets try it with numbers. lets put \(h=2\) so \(h^4=2^4=2\times 2\times 2\times 2=16\) then \[\sqrt{h^4}=\sqrt{16}=4=h^2\]
lets work it out step by step \[-3\sqrt{180h ^{4}}\] \[=-3\sqrt{9}\sqrt{4}\sqrt{5}\sqrt{h^4}=-3\times 3\times 2\times h^2\times \sqrt{5}\] \[=-18h^2\sqrt{5}\]
as usual, it is C it is always C
ok so you square them of first than multiiply them literally ?
Join our real-time social learning platform and learn together with your friends!