Divide ( square root of 5)/(9- square root of 65)

Math
59-65
Multiply 59-65 by 9+659+65.
59-65⋅9+659+65
Multiply 59-65 and 9+659+65.
5(9+65)(9-65)(9+65)
Expand the denominator using the FOIL method.
5(9+65)81+965-965-652
Simplify.
5(9+65)16
Apply the distributive property.
5⋅9+56516
Move 9 to the left of 5.
9⋅5+56516
Combine using the product rule for radicals.
9⋅5+5⋅6516
Simplify each term.
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Multiply 5 by 65.
95+32516
Rewrite 325 as 52⋅13.
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Factor 25 out of 325.
95+25(13)16
Rewrite 25 as 52.
95+52⋅1316
95+52⋅1316
Pull terms out from under the radical.
95+51316
95+51316
Split the fraction 95+51316 into two fractions.
9516+51316
The result can be shown in multiple forms.
Exact Form:
9516+51316
Decimal Form:
2.38452301…
Divide ( square root of 5)/(9- square root of 65)

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