The simplified expression can be written as:
[tex](-\sqrt{6} )*(-2*\sqrt{-42} ) = \sqrt{-1,008}[/tex]
How to completely simplify the given expression?
Here you need to remember the property:
[tex]\sqrt{x} *\sqrt{y} = \sqrt{x*y}[/tex]
Now we have the expression:
[tex](-\sqrt{6} )*(-2*\sqrt{-42} )[/tex]
First, we can cancel the two first negative signs to get:
[tex](\sqrt{6} )*(2*\sqrt{-42} )[/tex]
Now we can write the 2 as the square root of 4.
[tex](\sqrt{6} )*(\sqrt{4} *\sqrt{-42} )[/tex]
Finally, we can use the above property to get:
[tex](\sqrt{6} )*(\sqrt{4} *\sqrt{-42} ) = \sqrt{6*4*(-42)} = \sqrt{-1,008}[/tex]
If you want to learn more about square roots:
https://brainly.com/question/98314
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