Question

Combine these things :/ 5 Times Sqrt 27 - 17 Times Sqrt 3 Please explain and thank you :P

Answer 1

Answer:

$-2 \sqrt{3}$

Step-by-step explanation:

Given

$5 * \sqrt{27} - 17 * \sqrt{3}$

Required

Combine both

$5 * \sqrt{27} - 17 * \sqrt{3}$

Express 27 as 9 * 3

$5 * \sqrt{9 * 3} - 17 * \sqrt{3}$

Split:

$5 * \sqrt{9} * \sqrt{3} - 17 * \sqrt{3}$

$5 * 3 * \sqrt{3} - 17 * \sqrt{3}$

$15 * \sqrt{3} - 17 * \sqrt{3}$

$15 \sqrt{3} - 17 \sqrt{3}$

$-2 \sqrt{3}$