Simplify -6/(5- square root of 11)

Math
-65-11
Multiply -65-11 by 5+115+11.
-65-11⋅5+115+11
Multiply -65-11 and 5+115+11.
-6(5+11)(5-11)(5+11)
Expand the denominator using the FOIL method.
-6(5+11)25+511-511-112
Simplify.
-6(5+11)14
Cancel the common factor of -6 and 14.
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Factor 2 out of -6(5+11).
2(-3(5+11))14
Cancel the common factors.
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Factor 2 out of 14.
2(-3(5+11))2(7)
Cancel the common factor.
2(-3(5+11))2⋅7
Rewrite the expression.
-3(5+11)7
-3(5+11)7
-3(5+11)7
Move the negative in front of the fraction.
-3(5+11)7
The result can be shown in multiple forms.
Exact Form:
-3(5+11)7
Decimal Form:
-3.56426776…
Simplify -6/(5- square root of 11)

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