# How do you simplify #xsqrt(16x^3y) + ysqrt(27xy^2)#?

Since you can 'take these outside' the root, squared values are what you're looking for.

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To simplify the expression xsqrt(16x^3y) + ysqrt(27xy^2), we can break it down into two separate terms and simplify each individually.

First, let's simplify xsqrt(16x^3y):

The square root of 16 is 4, and the square root of x^3 is x^(3/2). Therefore, xsqrt(16x^3y) simplifies to 4x^(3/2)sqrt(y).

Next, let's simplify ysqrt(27xy^2):

The square root of 27 is 3, and the square root of xy^2 is xy. Therefore, ysqrt(27xy^2) simplifies to 3xy.

Combining the simplified terms, the expression xsqrt(16x^3y) + ysqrt(27xy^2) simplifies to 4x^(3/2)sqrt(y) + 3xy.

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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.

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