Ash90
simplify the expression
(x^210x+25)^1/2



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Ash90
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i have (x5)^2=((x5)^2)1/2=(x5) then i do [5, infinity) but the answer is wrong

goformit100
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Use multinomial theorem.

hartnn
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simplified form is x5

hartnn
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u need domain ?

Ash90
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i have x5 and for my domain answer i put...

Ash90
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dw:1389459862624:dw

Ash90
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or should it be...

hartnn
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why ??
why can x not be less than 5 ?

Ash90
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dw:1389459912753:dw

hartnn
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whats the domain of x5 ?

hartnn
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what if x= 3
is that allowed value ?

hartnn
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note that x5 does not place any restrictions on x

ParthKohli
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The simplified form is x  5.

ParthKohli
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The domain of that should be all real numbers. x^2  10x + 25 is always positive, so you can input everything.

Ash90
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so 5

ParthKohli
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No, (infty,infty)

Ash90
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yes everything like infinity to positive infinity

ParthKohli
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Yup.

Ash90
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oh see i had the left with a bracket so that was wrong

Ash90
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thanks

ParthKohli
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Do you need the range as well?

Ash90
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after i had messed it up i just started guessing

Ash90
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let me see..

Ash90
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yeah i think so

ParthKohli
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OK, so the simplification is x  5. Do you know what the range of any absolute value function is?

Ash90
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the range would be [5, positive ) right?

hartnn
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nopes,
the range of x is x>=0