Question

Simplify the radical expression.
-3 the square root of 180h^4

(i will draw it out)

Answer 1

\[{-3}\sqrt{180h^4}\]

Answer 2

\[-3\sqrt{180h^4}= -3\times \sqrt{36\times5\times(h^2)^2}\]

or

\[-3\times \sqrt{36}\times \sqrt{(h^2)^2}\times \sqrt{5}\]

\[-3\times6\times h^2 \times \sqrt{5}\]

answer \[-18h^2\sqrt{5}\]

Answer 3

factorize 180 = 2*2*3*3*5
so
\[{-3}\sqrt{2^2\times3^2\times5\times{h^4}}={-3}\times2\times3\times{h^2}\sqrt{5}=-18h^2\sqrt{5}\]