Evaluate square root of 2( square root of 6- square root of 3)

Math
2(6-3)
Apply the distributive property.
26+2(-3)
Combine using the product rule for radicals.
2⋅6+2(-3)
Multiply 2(-3).
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Combine using the product rule for radicals.
2⋅6-2⋅3
Multiply 2 by 3.
2⋅6-6
2⋅6-6
Simplify each term.
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Multiply 2 by 6.
12-6
Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
4(3)-6
Rewrite 4 as 22.
22⋅3-6
22⋅3-6
Pull terms out from under the radical.
23-6
23-6
The result can be shown in multiple forms.
Exact Form:
23-6
Decimal Form:
1.01461187…
Evaluate square root of 2( square root of 6- square root of 3)

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