858

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

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

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

Add 1 and 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

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)