# Simplify -6/( square root of 72)

-672
Simplify the denominator.
Rewrite 72 as 62⋅2.
Factor 36 out of 72.
-636(2)
Rewrite 36 as 62.
-662⋅2
-662⋅2
Pull terms out from under the radical.
-662
-662
Cancel the common factor of 6.
Cancel the common factor.
-662
Rewrite the expression.
-12
-12
Multiply 12 by 22.
-(12⋅22)
Combine and simplify the denominator.
Multiply 12 and 22.
-222
Raise 2 to the power of 1.
-2212
Raise 2 to the power of 1.
-22121
Use the power rule aman=am+n to combine exponents.
-221+1
Add 1 and 1.
-222
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
-2(212)2
Apply the power rule and multiply exponents, (am)n=amn.
-2212⋅2
Combine 12 and 2.
-2222
Cancel the common factor of 2.
Cancel the common factor.
-2222
Divide 1 by 1.
-221
-221
Evaluate the exponent.
-22
-22
-22
The result can be shown in multiple forms.
Exact Form:
-22
Decimal Form:
-0.70710678…
Simplify -6/( square root of 72)

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