Question

8.5 divide radical expressions (homework) score: 1/14 answered: 1/14 question 2 simplify. $\frac{sqrt{27x^{11}}}{sqrt{3x^{3}}}=$ question help: video written example

Explanation:

Step1: Use quotient - rule of radicals

$\frac{\sqrt{27x^{11}}}{\sqrt{3x^{3}}}=\sqrt{\frac{27x^{11}}{3x^{3}}}$

Step2: Simplify the fraction inside the radical

$\sqrt{\frac{27x^{11}}{3x^{3}}}=\sqrt{9x^{8}}$

Step3: Simplify the square - root

$\sqrt{9x^{8}} = 3x^{4}$

Answer:

$3x^{4}$