# Simplify 3 square root of 32* square root of 50

332⋅50
Rewrite 32 as 42⋅2.
Factor 16 out of 32.
316(2)⋅50
Rewrite 16 as 42.
342⋅2⋅50
342⋅2⋅50
Pull terms out from under the radical.
3(42)⋅50
Multiply 4 by 3.
122⋅50
Rewrite 50 as 52⋅2.
Factor 25 out of 50.
122⋅25(2)
Rewrite 25 as 52.
122⋅52⋅2
122⋅52⋅2
Pull terms out from under the radical.
122⋅(52)
Multiply 122(52).
Multiply 5 by 12.
6022
Raise 2 to the power of 1.
60(212)
Raise 2 to the power of 1.
60(2121)
Use the power rule aman=am+n to combine exponents.
6021+1
Add 1 and 1.
6022
6022
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
60(212)2
Apply the power rule and multiply exponents, (am)n=amn.
60⋅212⋅2
Combine 12 and 2.
60⋅222
Cancel the common factor of 2.
Cancel the common factor.
60⋅222
Divide 1 by 1.
60⋅21
60⋅21
Evaluate the exponent.
60⋅2
60⋅2
Multiply 60 by 2.
120
Simplify 3 square root of 32* square root of 50

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