Simplify ( square root of 6-4)( square root of 6+10)

Math
(6-4)(6+10)
Expand (6-4)(6+10) using the FOIL Method.
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Apply the distributive property.
6(6+10)-4(6+10)
Apply the distributive property.
66+6⋅10-4(6+10)
Apply the distributive property.
66+6⋅10-46-4⋅10
66+6⋅10-46-4⋅10
Simplify and combine like terms.
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Simplify each term.
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Combine using the product rule for radicals.
6⋅6+6⋅10-46-4⋅10
Multiply 6 by 6.
36+6⋅10-46-4⋅10
Rewrite 36 as 62.
62+6⋅10-46-4⋅10
Pull terms out from under the radical, assuming positive real numbers.
6+6⋅10-46-4⋅10
Move 10 to the left of 6.
6+10⋅6-46-4⋅10
Multiply -4 by 10.
6+106-46-40
6+106-46-40
Subtract 40 from 6.
-34+106-46
Subtract 46 from 106.
-34+66
-34+66
The result can be shown in multiple forms.
Exact Form:
-34+66
Decimal Form:
-19.30306154…
Simplify ( square root of 6-4)( square root of 6+10)

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