How do you simplify #sqrt27+2sqrt3-sqrt12#?
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To simplify ( \sqrt{27} + 2\sqrt{3} - \sqrt{12} ), first, we simplify each square root:
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( \sqrt{27} ): Since (27 = 9 \times 3), ( \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3} ).
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( \sqrt{12} ): Since (12 = 4 \times 3), ( \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3} ).
Now, we substitute the simplified values back into the original expression:
[ \sqrt{27} + 2\sqrt{3} - \sqrt{12} = 3\sqrt{3} + 2\sqrt{3} - 2\sqrt{3} ]
Next, we combine like terms:
[ 3\sqrt{3} + 2\sqrt{3} - 2\sqrt{3} = (3 + 2 - 2) \sqrt{3} = 3\sqrt{3} ]
So, ( \sqrt{27} + 2\sqrt{3} - \sqrt{12} ) simplifies to ( 3\sqrt{3} ).
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When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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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