To simplify this expression, we can first divide the coefficients (numbers outside the radical sign) and simplify the variables inside the radical sign using the rules of exponents:
√(63x^15y^9/7xy^11) = √(9x^4/y^2)
Next, we can split the radical sign using the product rule:
√(9x^4/y^2) = √9 * √(x^4/y^2)
The square root of 9 is 3, and we can simplify the expression inside the radical sign using the quotient rule:
√(x^4/y^2) = √(x^4)/√(y^2) = x^2/y
Putting it all together, we get:
√(63x^15y^9/7xy^11) = √9 * √(x^4/y^2) = 3 * x^2/y = 3x^2/y
Simplify the radical expression.
√63x^15y^9/7xy^11
1 answer
1 answer