How do you simplify #(2sqrt2 + 2sqrt24) * sqrt3#?
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To simplify ( (2\sqrt{2} + 2\sqrt{24}) \times \sqrt{3} ):

Use the distributive property to multiply ( \sqrt{3} ) with each term inside the parentheses.

( (2\sqrt{2} \times \sqrt{3}) + (2\sqrt{24} \times \sqrt{3}) )

Simplify the square roots inside each term:
( 2\sqrt{6} + 2\sqrt{72} )

Simplify the square root of 72:
( 2\sqrt{6} + 2\sqrt{36} )

Since ( \sqrt{36} = 6 ), the expression becomes:
( 2\sqrt{6} + 2 \times 6 )

Simplify:
( 2\sqrt{6} + 12 )
So, ( (2\sqrt{2} + 2\sqrt{24}) \times \sqrt{3} ) simplifies to ( 2\sqrt{6} + 12 ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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