Simplify 6/( square root of 144-4*3)

Math
6144-4⋅3
Simplify the denominator.
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Multiply -4 by 3.
6144-12
Subtract 12 from 144.
6132
Rewrite 132 as 22⋅33.
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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.
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Factor 2 out of 6.
2⋅3233
Cancel the common factors.
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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.
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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.
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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.
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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.
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Factor 3 out of 333.
3(33)33
Cancel the common factors.
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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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