Question

como simplificar as expressões a seguir √48+√588 -√300

Answer 1

√48 = 4√3
√588 = 14√3
√300 = 10√3

4√3 + 14√3 - 10√3 
18√3 - 10√3
8√3 

Answer 2

$Ola'~~~~ \mathbf{Layla} \\ \\ \sqrt{48} + \sqrt{588}- \sqrt{300} ~~--\ \textgreater \ temos \begin{cases} \sqrt{48}= \sqrt{ 2^{4} .3 }=4 \sqrt{3} \\ \\ \sqrt{588}= \sqrt{ 2^{2}. 7^{2}.3 } =14 \sqrt{3} \\ \\ \sqrt{300}= \sqrt{ 2^{2} .5^{2}.3 } =10 \sqrt{3} \end{cases} \\ \\ Substituindo~temos: \\ \\ 4 \sqrt{3}+14 \sqrt{3}-10 \sqrt{3} ~~--\ \textgreater \ fatorizamos~( \sqrt{3}) \\ \\ \sqrt{3}(\underbrace{4+14-10}_{8}) \\ \\ \\~~ \boxed{\boxed{8 \sqrt{3} }}$

$\mathbb{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$