# Simplify 4/(3 square root of 18) 4318
Simplify the denominator.
Rewrite 18 as 32⋅2.
Factor 9 out of 18.
439(2)
Rewrite 9 as 32.
4332⋅2
4332⋅2
Pull terms out from under the radical.
43⋅32
Multiply 3 by 3.
492
492
Multiply 492 by 22.
492⋅22
Combine and simplify the denominator.
Multiply 492 and 22.
42922
Move 2.
429(22)
Raise 2 to the power of 1.
429(212)
Raise 2 to the power of 1.
429(2121)
Use the power rule aman=am+n to combine exponents.
42921+1
42922
Rewrite 22 as 2.
Use axn=axn to rewrite 2 as 212.
429(212)2
Apply the power rule and multiply exponents, (am)n=amn.
429⋅212⋅2
Combine 12 and 2.
429⋅222
Cancel the common factor of 2.
Cancel the common factor.
429⋅222
Divide 1 by 1.
429⋅21
429⋅21
Evaluate the exponent.
429⋅2
429⋅2
429⋅2
Cancel the common factor of 4 and 2.
Factor 2 out of 42.
2(22)9⋅2
Cancel the common factors.
Factor 2 out of 9⋅2.
2(22)2⋅9
Cancel the common factor.
2(22)2⋅9
Rewrite the expression.
229
229
229
The result can be shown in multiple forms.
Exact Form:
229
Decimal Form:
0.31426968…
Simplify 4/(3 square root of 18)     