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

Math
367⋅377
Combine using the product rule for radicals.
367⋅377
Multiply 367 and 377.
36⋅37⋅77
Multiply.
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Multiply 36 by 3.
1087⋅77
Multiply 7 by 77.
108539
108539
Rewrite 108539 as 108539.
108539
Simplify the numerator.
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Rewrite 108 as 62⋅3.
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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.
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Rewrite 539 as 72⋅11.
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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.
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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
Add 1 and 1.
63117112
Rewrite 112 as 11.
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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.
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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.
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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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