# Simplify 8/(5 square root of 8)

858
Simplify the denominator.
Rewrite 8 as 22⋅2.
Factor 4 out of 8.
854(2)
Rewrite 4 as 22.
8522⋅2
8522⋅2
Pull terms out from under the radical.
85⋅22
Multiply 5 by 2.
8102
8102
Cancel the common factor of 8 and 10.
Factor 2 out of 8.
2(4)102
Cancel the common factors.
Factor 2 out of 102.
2(4)2(52)
Cancel the common factor.
2⋅42(52)
Rewrite the expression.
452
452
452
Multiply 452 by 22.
452⋅22
Combine and simplify the denominator.
Multiply 452 and 22.
42522
Move 2.
425(22)
Raise 2 to the power of 1.
425(212)
Raise 2 to the power of 1.
425(2121)
Use the power rule aman=am+n to combine exponents.
42521+1
42522
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
425(212)2
Apply the power rule and multiply exponents, (am)n=amn.
425⋅212⋅2
Combine 12 and 2.
425⋅222
Cancel the common factor of 2.
Cancel the common factor.
425⋅222
Divide 1 by 1.
425⋅21
425⋅21
Evaluate the exponent.
425⋅2
425⋅2
425⋅2
Cancel the common factor of 4 and 2.
Factor 2 out of 42.
2(22)5⋅2
Cancel the common factors.
Factor 2 out of 5⋅2.
2(22)2⋅5
Cancel the common factor.
2(22)2⋅5
Rewrite the expression.
225
225
225
The result can be shown in multiple forms.
Exact Form:
225
Decimal Form:
0.56568542…
Simplify 8/(5 square root of 8)

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