Answer:
[tex]6i\sqrt{7}[/tex]
Step-by-step explanation:
One can multiply the two radicles by multiplying the values under the radicals, then taking out perfect squares. In essence;
[tex]\sqrt{-14}{*\sqrt{18}\\[/tex]
[tex]=\sqrt{(-14)(18)}[/tex]
[tex]= \sqrt{-252}[/tex]
Rewrite such that is expressed perfect square factors in the number,
[tex]\sqrt{(-1)(9)(4)(7)}[/tex]
Take out the factors,
[tex]3 * 2*\sqrt{(-1)(7)}[/tex]
Simplify,
[tex]6\sqrt{(-1)(7)}[/tex]
Remember the square root of negative one can be signified by the character ([tex]i[/tex]), therefore, one can take it out from the radical.
[tex]6i\sqrt{7}[/tex]
