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Basic Math Examples
3√283√28
Step 1
Step 1.1
Rewrite 2828 as 22⋅722⋅7.
Step 1.1.1
Factor 44 out of 2828.
3√4(7)3√4(7)
Step 1.1.2
Rewrite 44 as 2222.
3√22⋅73√22⋅7
3√22⋅73√22⋅7
Step 1.2
Pull terms out from under the radical.
32√732√7
32√732√7
Step 2
Multiply 32√732√7 by √7√7√7√7.
32√7⋅√7√732√7⋅√7√7
Step 3
Step 3.1
Multiply 32√732√7 by √7√7√7√7.
3√72√7√73√72√7√7
Step 3.2
Move √7√7.
3√72(√7√7)3√72(√7√7)
Step 3.3
Raise √7√7 to the power of 11.
3√72(√71√7)3√72(√71√7)
Step 3.4
Raise √7√7 to the power of 11.
3√72(√71√71)3√72(√71√71)
Step 3.5
Use the power rule aman=am+naman=am+n to combine exponents.
3√72√71+13√72√71+1
Step 3.6
Add 11 and 11.
3√72√723√72√72
Step 3.7
Rewrite √72√72 as 77.
Step 3.7.1
Use n√ax=axnn√ax=axn to rewrite √7√7 as 712712.
3√72(712)23√72(712)2
Step 3.7.2
Apply the power rule and multiply exponents, (am)n=amn(am)n=amn.
3√72⋅712⋅23√72⋅712⋅2
Step 3.7.3
Combine 1212 and 22.
3√72⋅7223√72⋅722
Step 3.7.4
Cancel the common factor of 22.
Step 3.7.4.1
Cancel the common factor.
3√72⋅722
Step 3.7.4.2
Rewrite the expression.
3√72⋅71
3√72⋅71
Step 3.7.5
Evaluate the exponent.
3√72⋅7
3√72⋅7
3√72⋅7
Step 4
Multiply 2 by 7.
3√714
Step 5
The result can be shown in multiple forms.
Exact Form:
3√714
Decimal Form:
0.56694670…