Simplify 1/( square root of 27)

Math
127
Simplify the denominator.
Tap for more steps…
Rewrite 27 as 32⋅3.
Tap for more steps…
Factor 9 out of 27.
19(3)
Rewrite 9 as 32.
132⋅3
132⋅3
Pull terms out from under the radical.
133
133
Multiply 133 by 33.
133⋅33
Combine and simplify the denominator.
Tap for more steps…
Multiply 133 and 33.
3333
Move 3.
33(33)
Raise 3 to the power of 1.
33(313)
Raise 3 to the power of 1.
33(3131)
Use the power rule aman=am+n to combine exponents.
3331+1
Add 1 and 1.
3332
Rewrite 32 as 3.
Tap for more steps…
Use axn=axn to rewrite 3 as 312.
33(312)2
Apply the power rule and multiply exponents, (am)n=amn.
33⋅312⋅2
Combine 12 and 2.
33⋅322
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
33⋅322
Divide 1 by 1.
33⋅31
33⋅31
Evaluate the exponent.
33⋅3
33⋅3
33⋅3
Multiply 3 by 3.
39
The result can be shown in multiple forms.
Exact Form:
39
Decimal Form:
0.19245008…
Simplify 1/( square root of 27)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top