18-212

Rewrite 18 as 32⋅2.

Factor 9 out of 18.

9(2)-212

Rewrite 9 as 32.

32⋅2-212

32⋅2-212

Pull terms out from under the radical.

32-212

Rewrite 12 as 12.

32-212

Any root of 1 is 1.

32-212

Multiply 12 by 22.

32-2(12⋅22)

Combine and simplify the denominator.

Multiply 12 and 22.

32-2222

Raise 2 to the power of 1.

32-22212

Raise 2 to the power of 1.

32-222121

Use the power rule aman=am+n to combine exponents.

32-2221+1

Add 1 and 1.

32-2222

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

32-22(212)2

Apply the power rule and multiply exponents, (am)n=amn.

32-22212⋅2

Combine 12 and 2.

32-22222

Cancel the common factor of 2.

Cancel the common factor.

32-22222

Divide 1 by 1.

32-2221

32-2221

Evaluate the exponent.

32-222

32-222

32-222

Cancel the common factor of 2.

Factor 2 out of -2.

32+2(-1)22

Cancel the common factor.

32+2⋅-122

Rewrite the expression.

32-12

32-12

Rewrite -12 as -2.

32-2

32-2

Subtract 2 from 32.

22

The result can be shown in multiple forms.

Exact Form:

22

Decimal Form:

2.82842712…

Simplify square root of 18-2 square root of 1/2