Simplify ( square root of 5-2)( square root of 5+2)

Math
(5-2)(5+2)
Expand (5-2)(5+2) using the FOIL Method.
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Apply the distributive property.
5(5+2)-2(5+2)
Apply the distributive property.
55+5⋅2-2(5+2)
Apply the distributive property.
55+5⋅2-25-2⋅2
55+5⋅2-25-2⋅2
Simplify and combine like terms.
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Simplify each term.
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Combine using the product rule for radicals.
5⋅5+5⋅2-25-2⋅2
Multiply 5 by 5.
25+5⋅2-25-2⋅2
Rewrite 25 as 52.
52+5⋅2-25-2⋅2
Pull terms out from under the radical, assuming positive real numbers.
5+5⋅2-25-2⋅2
Move 2 to the left of 5.
5+2⋅5-25-2⋅2
Multiply -2 by 2.
5+25-25-4
5+25-25-4
Subtract 4 from 5.
1+25-25
Subtract 25 from 25.
1+0
Add 1 and 0.
1
1
Simplify ( square root of 5-2)( square root of 5+2)

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