Combine 78+96/( square root of 78)

Math
78+9678
Simplify each term.
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Multiply 9678 by 7878.
78+9678⋅7878
Combine and simplify the denominator.
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Multiply 9678 and 7878.
78+96787878
Raise 78 to the power of 1.
78+967878178
Raise 78 to the power of 1.
78+9678781781
Use the power rule aman=am+n to combine exponents.
78+9678781+1
Add 1 and 1.
78+9678782
Rewrite 782 as 78.
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Use axn=axn to rewrite 78 as 7812.
78+9678(7812)2
Apply the power rule and multiply exponents, (am)n=amn.
78+96787812⋅2
Combine 12 and 2.
78+96787822
Cancel the common factor of 2.
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Cancel the common factor.
78+96787822
Divide 1 by 1.
78+9678781
78+9678781
Evaluate the exponent.
78+967878
78+967878
78+967878
Cancel the common factor of 96 and 78.
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Factor 6 out of 9678.
78+6(1678)78
Cancel the common factors.
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Factor 6 out of 78.
78+6(1678)6(13)
Cancel the common factor.
78+6(1678)6⋅13
Rewrite the expression.
78+167813
78+167813
78+167813
78+167813
To write 78 as a fraction with a common denominator, multiply by 1313.
78⋅1313+167813
Combine 78 and 1313.
78⋅1313+167813
Simplify the expression.
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Combine the numerators over the common denominator.
78⋅13+167813
Multiply 78 by 13.
1014+167813
1014+167813
The result can be shown in multiple forms.
Exact Form:
1014+167813
Decimal Form:
88.86985952…
Combine 78+96/( square root of 78)

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