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  • 04-05-2020
  • Mathematics
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I need help simplifying this radical expression

I need help simplifying this radical expression class=

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  • 04-05-2020

Answer:

[tex]x^4y^9[/tex]

Step-by-step explanation:

We can simplify this radical expression by expanding the expression inside the radical:

[tex]\sqrt{x^8y^1^8}[/tex] is the same as:

[tex]\sqrt{x^4*x^4*y^9*y^9}[/tex] since the exponents ultimately add up. This can be further simplified into:

[tex]\sqrt{(x^4)^2*(y^9)^2}[/tex], and since the 2 values are being squared, and the square root operation is the inverse of that, it cancels out:

[tex]x^4y^9[/tex]

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