+1495 Help me please
Simplify: Type the Answer as a Radical Reduced to the Simplest form
Radical 567x2y4z2 with a 4 index
+2446 ManuelBautista2019, I am certain that the preceding answerers have misinterpreted the question.
You mean \(\sqrt[4]{567x^2y^4z^2}\). Notice that this expression has a radical with an index of 4!
\(\sqrt[4]{567x^2y^4z^2}\\ \sqrt[4]{3^4*7*x^2*y^4*z^2}\\ 3|y|\sqrt[4]{7x^2z^2}\)
This radical is now in simplest form. And, yes, the absolute value bars around y is deliberate and intentional.
y^4 will always be positive--whether or not y is positive or negative. Taking the 4th root of a number implies the principal root, or the positive answer, so y cannot be negative. We account for this by adding absolute value bars.
+2446 ManuelBautista2019, I am certain that the preceding answerers have misinterpreted the question.
You mean \(\sqrt[4]{567x^2y^4z^2}\). Notice that this expression has a radical with an index of 4!
\(\sqrt[4]{567x^2y^4z^2}\\ \sqrt[4]{3^4*7*x^2*y^4*z^2}\\ 3|y|\sqrt[4]{7x^2z^2}\)
This radical is now in simplest form. And, yes, the absolute value bars around y is deliberate and intentional.
y^4 will always be positive--whether or not y is positive or negative. Taking the 4th root of a number implies the principal root, or the positive answer, so y cannot be negative. We account for this by adding absolute value bars.
