# Simplify 6/( square root of 144-4*3) 6144-4⋅3
Simplify the denominator.
Multiply -4 by 3.
6144-12
Subtract 12 from 144.
6132
Rewrite 132 as 22⋅33.
Factor 4 out of 132.
64(33)
Rewrite 4 as 22.
622⋅33
622⋅33
Pull terms out from under the radical.
6233
6233
Cancel the common factor of 6 and 2.
Factor 2 out of 6.
2⋅3233
Cancel the common factors.
Factor 2 out of 233.
2⋅32(33)
Cancel the common factor.
2⋅3233
Rewrite the expression.
333
333
333
Multiply 333 by 3333.
333⋅3333
Combine and simplify the denominator.
Multiply 333 and 3333.
3333333
Raise 33 to the power of 1.
33333133
Raise 33 to the power of 1.
333331331
Use the power rule aman=am+n to combine exponents.
333331+1
Add 1 and 1.
333332
Rewrite 332 as 33.
Use axn=axn to rewrite 33 as 3312.
333(3312)2
Apply the power rule and multiply exponents, (am)n=amn.
3333312⋅2
Combine 12 and 2.
3333322
Cancel the common factor of 2.
Cancel the common factor.
3333322
Divide 1 by 1.
333331
333331
Evaluate the exponent.
33333
33333
33333
Cancel the common factor of 3 and 33.
Factor 3 out of 333.
3(33)33
Cancel the common factors.
Factor 3 out of 33.
3333⋅11
Cancel the common factor.
3333⋅11
Rewrite the expression.
3311
3311
3311
The result can be shown in multiple forms.
Exact Form:
3311
Decimal Form:
0.52223296…
Simplify 6/( square root of 144-4*3)

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