Question

Simplify square root 24 minus 3 times the square root of 45 plus 2 times the square root of 20

a 7 minus 3 times square root 30
b 2 square root 6 minus 5 square root 5
c 2 square root 6 minus 2 square root 5
d 4 square root 6 minus 19 square root 5

Answer 1

$\sqrt{24}-3 \sqrt{45}+2 \sqrt{20}=\sqrt{6 \cdot 4}- 3 \sqrt{9 \cdot 5}+2 \sqrt{5 \cdot 4}=2\sqrt 6-3 \cdot 3 \sqrt 5+$

$+2 \cdot 2 \sqrt 5 = 2\sqrt 6 - 9 \sqrt 5 + 4 \sqrt 5 = \boxed{2 \sqrt 6 - 5 \sqrt 5} - Option B$