Simplify 5/(8+ square root of 2)

Math
58+2
Multiply 58+2 by 8-28-2.
58+2⋅8-28-2
Multiply 58+2 and 8-28-2.
5(8-2)(8+2)(8-2)
Expand the denominator using the FOIL method.
5(8-2)64-82+2⋅8-22
Simplify.
5(8-2)62
The result can be shown in multiple forms.
Exact Form:
5(8-2)62
Decimal Form:
0.53111180…
Simplify 5/(8+ square root of 2)

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