**Simplify the Expression**The expression to simplify is:\[\sqrt{180x^5}\]**Instructions for Simplification:**1. **Factor the Radicand:** Begin by factoring 180 and the variable component \(x^5\).2. **Perfect Squares:** Identify and extract perfect square factors to simplify the square root.3. **Variable Simplification:** Apply the square root property to simplify \(x^5\).**Solution Steps:**1. **Factor 180:** - \(180 = 2^2 \times 3^2 \times 5\).2. **Apply Square Root to Factors:** - \(\sqrt{180} = \sqrt{2^2 \times 3^2 \times 5} = 2 \times 3 \times \sqrt{5} = 6\sqrt{5}\).3. **Simplify \(x^5\):** - \(x^5 = x^4 \times x = (x^2)^2 \times x\). - \(\sqrt{x^5} = \sqrt{(x^2)^2 \times x} = x^2 \sqrt{x}\).4. **Combine Results:** - \(\sqrt{180x^5} = 6x^2 \sqrt{5x}\).Use these steps to guide your simplification process on similar expressions.

Name: **Simplify the Expression**The expression to simplify is:\[\sqrt{180x
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: **Simplify the Expression**The expression to simplify is:\[\sqrt{180x^5}\]**Instructions for Simplification:**1. **Factor the Radicand:** Begin by factoring 180 and the variable component \(x^5\).2. **Perfect Squares:** Identify and extract perfect