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

18-212
Simplify each term.
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
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

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