Simplify h/(h square root of a+h-h square root of a)

Math
hha+h-ha
Simplify the denominator.
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Factor h out of ha+h-ha.
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Factor h out of ha+h.
hh(a+h)-ha
Factor h out of -ha.
hh(a+h)+h(-1a)
Factor h out of h(a+h)+h(-1a).
hh(a+h-1a)
hh(a+h-1a)
Rewrite -1a as -a.
hh(a+h-a)
hh(a+h-a)
Cancel the common factor of h.
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Cancel the common factor.
hh(a+h-a)
Rewrite the expression.
1a+h-a
1a+h-a
Multiply 1a+h-a by a+h+aa+h+a.
1a+h-a⋅a+h+aa+h+a
Multiply 1a+h-a and a+h+aa+h+a.
a+h+a(a+h-a)(a+h+a)
Expand the denominator using the FOIL method.
a+h+aa+h2+(a+h)a-(a+h)a-a2
Simplify.
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Subtract a from a.
a+h+ah+0
Add h and 0.
a+h+ah
a+h+ah
Simplify h/(h square root of a+h-h square root of a)

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