Simplify square root of 32+2 square root of 8-3 square root of 18

Math
32+28-318
Simplify each term.
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Rewrite 32 as 42⋅2.
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Factor 16 out of 32.
16(2)+28-318
Rewrite 16 as 42.
42⋅2+28-318
42⋅2+28-318
Pull terms out from under the radical.
42+28-318
Rewrite 8 as 22⋅2.
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Factor 4 out of 8.
42+24(2)-318
Rewrite 4 as 22.
42+222⋅2-318
42+222⋅2-318
Pull terms out from under the radical.
42+2(22)-318
Multiply 2 by 2.
42+42-318
Rewrite 18 as 32⋅2.
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Factor 9 out of 18.
42+42-39(2)
Rewrite 9 as 32.
42+42-332⋅2
42+42-332⋅2
Pull terms out from under the radical.
42+42-3(32)
Multiply 3 by -3.
42+42-92
42+42-92
Simplify by adding terms.
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Add 42 and 42.
82-92
Subtract 92 from 82.
-2
-2
The result can be shown in multiple forms.
Exact Form:
-2
Decimal Form:
-1.41421356…
Simplify square root of 32+2 square root of 8-3 square root of 18

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