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Which expression is equivalent to square root 55x^7y^6/11x^11y^8 ? Assume x > 0 and y > 0.

(ignore) Which expression is equivalent to ? Assume x > 0 and y  0.

Which expression is equivalent to square root 55x7y611x11y8 Assume x gt 0 and y gt 0 ignore Which expression is equivalent to Assume x gt 0 and y 0 class=

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The first step for solving this expression is to reduce the fraction with 11.
[tex] \sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } } [/tex]
Now reduce the fraction with [tex] x^{7} [/tex]
[tex] \sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } } [/tex]
Reduce the fraction with [tex] y^{6} [/tex]
[tex] \sqrt{ \frac{5}{ x^{4} y^{2} } } [/tex]
Lastly,, we need to remember our radical rules. They state that in order for us to take a root of a fraction,, we must take the root of the numerator and denominator separately. Knowing this rule,, this changes the expression to the following:
[tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex]
Since we cannot simplify the expression any further,, the correct answer to your question is going to be [tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex],, or option C.
Let me know if you have any further questions.
:)

The equivalent expression of √55x⁷y⁶ / 11x¹¹y⁸ is [tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

√55x⁷y⁶ / 11x¹¹y⁸

Lets reduce the fraction by dividing the numerator and denominator by 11.

Therefore,

√5x⁷y⁶ / x¹¹y⁸

Using indices principle

x⁷ / x¹¹ = x⁷⁻¹¹ = x⁻⁴ = 1 / x⁴

y⁶ / y⁸ = y⁶⁻⁸ = y⁻² = 1 / y²

Therefore,

√5/ x⁴y²

square root of 1 / y² is 1 / y

square root of 1 / x⁴ is 1 / x²

Finally,

[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

learn more on math expression here: https://brainly.com/question/4699762?referrer=searchResults

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