High School

Simplify the expression:

Square root of [tex]48x^3[/tex] divided by the square root of [tex]3xy^2[/tex].

Answer :

Final answer:

Explanation of simplifying expressions with square roots involving variables.

Explanation:

This question involves simplifying expressions with square roots. Let's break it down step by step:

**√ of 48x³** can be rewritten as **√(48) * sqrt(x^3)** = **4√(3)*x³/²**.

**Divided by the square root of 3xy²** can be written as **1/√(3xy²)** = **1/(√(3) * √(x) * √(y²))** = **1/(√(3) * √(x) * y)**.

Putting it all together, the expression simplifies to **(4√(3)*x³/²)/(√(3) * √(x) * y)** = **4x¹/²/y**.