Simplify 8/(5+ square root of 7)

Math
85+7
Multiply 85+7 by 5-75-7.
85+7⋅5-75-7
Multiply 85+7 and 5-75-7.
8(5-7)(5+7)(5-7)
Expand the denominator using the FOIL method.
8(5-7)25-57+7⋅5-72
Simplify.
8(5-7)18
Cancel the common factor of 8 and 18.
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Factor 2 out of 8(5-7).
2(4(5-7))18
Cancel the common factors.
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Factor 2 out of 18.
2(4(5-7))2(9)
Cancel the common factor.
2(4(5-7))2⋅9
Rewrite the expression.
4(5-7)9
4(5-7)9
4(5-7)9
The result can be shown in multiple forms.
Exact Form:
4(5-7)9
Decimal Form:
1.04633275…
Simplify 8/(5+ square root of 7)

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