Answer:
[tex]-2 \sqrt{3}[/tex]
Step-by-step explanation:
Given
[tex]5 * \sqrt{27} - 17 * \sqrt{3}[/tex]
Required
Combine both
[tex]5 * \sqrt{27} - 17 * \sqrt{3}[/tex]
Express 27 as 9 * 3
[tex]5 * \sqrt{9 * 3} - 17 * \sqrt{3}[/tex]
Split:
[tex]5 * \sqrt{9} * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]5 * 3 * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]15 * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]15 \sqrt{3} - 17 \sqrt{3}[/tex]
[tex]-2 \sqrt{3}[/tex]
