How do you simplify #2sqrt6+3sqrt54#?
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The answer is
We can go into more detail about how to do this if you are familiar with simplifying individual radicals. For radicals, if they have the same base, that is, the same number under the square root sign, we can just add the coefficients together (the numbers in front of the square root sign).
Finding perfect square factors (4, 9, 16) is necessary to accomplish this. By dissecting the 54, we find that the two most manageable numbers are 9 and 6.
I hope that this made it clearer how to deal with radicals that have different bases!
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To simplify 2√6 + 3√54, we can first simplify the square roots individually. The square root of 6 cannot be simplified further, but the square root of 54 can be simplified to 3√6.
So, the expression becomes 2√6 + 3√6.
Since both terms now have the same square root, we can combine them by adding their coefficients.
Therefore, the simplified form of 2√6 + 3√54 is 5√6.
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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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