How do you multiply radical expressions?

Answer 1

Making one large radical and then simplifying is one approach.

#root(3)(2x^2y^6)root(3)(20xy^4)=root(3)(2x^2y^6*20x^2y^4)#
#=root(3)(40x^3y^10)=root(3)(8*5x^3y^9y)=2xy^3root(3)(5y)#

Alternatively, simplify first, combine what's left, and then simplify once more:

#root(3)(2x^2y^6)root(3)(20xy^4)=[y^2root(3)(2x^2)][yroot(3)(20xy)]#
#=y^3root(3)(40x^3y)=2xy^3root(3)(5y)#.
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Answer 2

To multiply radical expressions, you can follow these steps:

  1. Simplify each radical expression separately, if possible.
  2. Multiply the coefficients (numbers outside the radical) together.
  3. Multiply the radicands (numbers inside the radical) together.
  4. Combine the coefficients and radicands to form the product.

If the radicals have the same index (root), you can directly multiply the coefficients and radicands. However, if the radicals have different indices, you may need to simplify them first by finding a common index.

Remember to simplify the resulting expression if possible.

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Answer from HIX Tutor

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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