Question

simplify:4√75-5√27+4√12​

Answer 1

Answer:

$13 \sqrt{3}$

Step-by-step explanation:

$4 \sqrt{75} - 5 \sqrt{27} + 4 \sqrt{12}$

$= 4 \sqrt{25 \times 3} - 5 \sqrt{9 \times 3} + 4\sqrt{4 \times 3}$

$= 4 \times 5 \sqrt{3} - 5 \times 3 \sqrt{3} + 4 \times 2 \sqrt{3}$

$= 20 \sqrt{3} - 15 \sqrt{3} + 8 \sqrt{3}$

$= 13 \sqrt{3}$