How do you simplify #sqrt216#?
The shortened version is as follows:
Recombining prime factors that have been separated one at a time is one method.
Thus, we discover:
By definition:
Hence:
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To simplify ( \sqrt{216} ), you can find the prime factorization of 216 and then simplify the square root.

Find the prime factorization of 216: [ 216 = 2^3 \times 3^3 ]

Rewrite ( \sqrt{216} ) using the prime factorization: [ \sqrt{216} = \sqrt{2^3 \times 3^3} ]

Break up the square root: [ \sqrt{216} = \sqrt{2^3} \times \sqrt{3^3} ]

Simplify each factor under the square root: [ \sqrt{216} = 2 \times 3 \sqrt{3} ]

Multiply the factors outside the square root: [ \sqrt{216} = 6 \sqrt{3} ]
Therefore, ( \sqrt{216} ) simplifies to ( 6\sqrt{3} ).
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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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