How do you rationalize the denominator and simplify −4√6−2√18√3?

1 Answer
Mia
Jun 17, 2016

−4√2−2√6

Explanation:

To Rationalize this quotient means we have to get rid of the radical from the denominator so we should multiply the numerator and denominator by √3

−4√6−2√18√3⋅√3√3
Knowing the property ,multiplication of two radicals that says:

√a⋅b=√a⋅√b
=−4√6⋅3−2√18⋅3(√3)2
=−4√2⋅3⋅3−2√2⋅3⋅3⋅33
=−4⋅3√2−2⋅3√63

Simplifying by 3
=−4√2−2√6

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