# Simplify 3/(z- square root of z)

3z-z
Multiply 3z-z by z+zz+z.
3z-z⋅z+zz+z
Multiply 3z-z and z+zz+z.
3(z+z)(z-z)(z+z)
Expand the denominator using the FOIL method.
3(z+z)z2+zz-zz-z2
Simplify.
Use axn=axn to rewrite z as z12.
3(z+z)z2-(z12)2
Apply the power rule and multiply exponents, (am)n=amn.
3(z+z)z2-z12⋅2
Combine 12 and 2.
3(z+z)z2-z22
Cancel the common factor of 2.
Cancel the common factor.
3(z+z)z2-z22
Divide 1 by 1.
3(z+z)z2-z1
3(z+z)z2-z1
Simplify.
3(z+z)z2-z
3(z+z)z2-z
Factor z out of z2-z.
Factor z out of z2.
3(z+z)z⋅z-z
Factor z out of -z.
3(z+z)z⋅z+z⋅-1
Factor z out of z⋅z+z⋅-1.
3(z+z)z(z-1)
3(z+z)z(z-1)
Simplify 3/(z- square root of z)

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