How do you simplify # sqrt ( 9 /( 50xy^7))#?

Answer 1

#= (3sqrt(2xy))/(10xy^4#

Write the numbers as a product of their factors, using squares where possible.

Find roots where possible.

#sqrt(9/(50xy^7)) " "= sqrt((3xx3)/(2xx5xx5 x y y^6)#
#=3/(5y^3)sqrt(1/(2xy))" " =3/(5y^3)1/(sqrt(2xy)) " "= 3/(5y^3sqrt(2xy))#

You will probably want to rationalise the denominator

#3/(5y^3sqrt(2xy)) xx sqrt(2xy)/sqrt(2xy)#
#=(3sqrt(2xy))/(5y^3 xx 2xy)#
#= (3sqrt(2xy))/(10xy^4#
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Answer 2

To simplify the expression sqrt(9/(50xy^7)), we can break it down as follows:

  1. Simplify the numerator: 9 is already simplified.

  2. Simplify the denominator: 50 can be simplified to 5 * 10, and y^7 can be written as y * y * y * y * y * y * y.

  3. Combine the simplified numerator and denominator: sqrt(9/(50xy^7)) becomes sqrt(9/(5 * 10 * x * y * y * y * y * y * y * y)).

  4. Further simplify the expression: sqrt(9/(5 * 10 * x * y^6)).

  5. Simplify the remaining factors: 5 * 10 can be simplified to 50, and y^6 can be written as y * y * y * y * y * y.

  6. Final simplified expression: sqrt(9/(50xy^6)).

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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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