To simplify the given radical expression, we will first simplify the fraction under the square root sign:
sqrt(72x^13y^11/8xy^13)
= sqrt(9x^12y^11 / xy^13) (reducing 72 and 8 by dividing by 8)
= sqrt(9x^(12-1)y^(11-13))
= sqrt(9x^11/y^2)
Now simplify the square root:
= sqrt(9) * sqrt(x^11) / sqrt(y^2)
= 3x^5 / y
Therefore, the simplified radical expression is 3x^5 / y.
Simplify the radical expression sqrt root(72x^13y^11/8xy^13) Show all work and steps.
3 answers
it's 3x^6/y, can u redo it
Apologies for the mistake. Let's redo the simplification:
Given expression: sqrt(72x^13y^11/8xy^13)
= sqrt(9x^12y^11 / xy^13) (simplify numerator and denominator by dividing by 8)
= sqrt(9x^12 / x y^2)
= sqrt(9x^11 / y^2) (simplify the terms by subtracting exponents)
= sqrt(9) * sqrt(x^11) / sqrt(y^2)
= 3x^5 / y
Therefore, the simplified radical expression is 3x^5 / y.
Given expression: sqrt(72x^13y^11/8xy^13)
= sqrt(9x^12y^11 / xy^13) (simplify numerator and denominator by dividing by 8)
= sqrt(9x^12 / x y^2)
= sqrt(9x^11 / y^2) (simplify the terms by subtracting exponents)
= sqrt(9) * sqrt(x^11) / sqrt(y^2)
= 3x^5 / y
Therefore, the simplified radical expression is 3x^5 / y.