# Simplify square root of 36/7* square root of 3/77

367⋅377
Combine using the product rule for radicals.
367⋅377
Multiply 367 and 377.
36⋅37⋅77
Multiply.
Multiply 36 by 3.
1087⋅77
Multiply 7 by 77.
108539
108539
Rewrite 108539 as 108539.
108539
Simplify the numerator.
Rewrite 108 as 62⋅3.
Factor 36 out of 108.
36(3)539
Rewrite 36 as 62.
62⋅3539
62⋅3539
Pull terms out from under the radical.
63539
63539
Simplify the denominator.
Rewrite 539 as 72⋅11.
Factor 49 out of 539.
6349(11)
Rewrite 49 as 72.
6372⋅11
6372⋅11
Pull terms out from under the radical.
63711
63711
Multiply 63711 by 1111.
63711⋅1111
Combine and simplify the denominator.
Multiply 63711 and 1111.
631171111
Move 11.
63117(1111)
Raise 11 to the power of 1.
63117(11111)
Raise 11 to the power of 1.
63117(111111)
Use the power rule aman=am+n to combine exponents.
63117111+1
63117112
Rewrite 112 as 11.
Use axn=axn to rewrite 11 as 1112.
63117(1112)2
Apply the power rule and multiply exponents, (am)n=amn.
63117⋅1112⋅2
Combine 12 and 2.
63117⋅1122
Cancel the common factor of 2.
Cancel the common factor.
63117⋅1122
Divide 1 by 1.
63117⋅111
63117⋅111
Evaluate the exponent.
63117⋅11
63117⋅11
63117⋅11
Simplify the numerator.
Combine using the product rule for radicals.
611⋅37⋅11
Multiply 11 by 3.
6337⋅11
6337⋅11
Multiply 7 by 11.
63377
The result can be shown in multiple forms.
Exact Form:
63377
Decimal Form:
0.44762825…
Simplify square root of 36/7* square root of 3/77

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