Question

A solução para este problema:

3√20+√32−2√45+√50

Answer 1

= 3√20 + √32 - 2√45 + √50
= 3√4√5 + √4√8 - 2√9√5 + √25√2
= 3.2√5 + 2√8 - 2.3√5 + 5√2
= 6√5 + 2√8 - 6√5 + 5√2
= 6√5 - 6√5 + 2√8 + 5√2
= 2√8 + 5√2
= 2√2√4 + 5√2
= 2.2√2 + 5√2
= 4√2 + 5√2
= 9√2

Answer 2

.
$3 \sqrt{20} + \sqrt{32} -2 \sqrt{45} + \sqrt{50} = \\ \\ 3 \sqrt{2^2.5} + \sqrt{2^5} -2 \sqrt{3^2.5} + \sqrt{2.5^2} = \\ \\ 3.2 \sqrt{5} +4 \sqrt{2} -2.3 \sqrt{5} +5 \sqrt{2} = \\ \\ 6 \sqrt{5} +4 \sqrt{2} -6 \sqrt{5} +5 \sqrt2} = \\ \\ 6 \sqrt{5}-6 \sqrt{5} +4 \sqrt{2} +5 \sqrt{2} = \\ \\ 9 \sqrt{2}$