Question

1-3 exit ticket radical expressions 1. what is an equivalent expression for \\(sqrt{48x^7}\\)? a \\(4xsqrt{3x}\\) b \\(4x^3sqrt{3x}\\) c \\(3xsqrt{4x^7}\\) d \\(16x^6sqrt{3x}\\) self assessment use a check mark to show how well you understand what you learned in this lesson. math goal i can write equivalent radical expressions, got it need help working on it language goal i can describe how to find equivalent radical expressions using multiplication and division. got it need help working on it envision+ california integrated mathematics ii • assessment sourcebook

Explanation:

Step1: Factor radicand into squares

$\sqrt{48x^5} = \sqrt{16x^4 \cdot 3x}$

Step2: Split radical into product

$\sqrt{16x^4} \cdot \sqrt{3x}$

Step3: Simplify perfect square root

$4x^2\sqrt{3x}$

Answer:

B. $4x^2\sqrt{3x}$