Respuesta :

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex], then

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Hence

5[tex]\sqrt{2}[/tex] + 3[tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex] ≈ 11.31

gmany

Answer:

[tex]\large\boxed{5\sqrt2+\sqrt{18}=8\sqrt2}[/tex]

Step-by-step explanation:

[tex]5\sqrt2+\sqrt{18}=5\sqrt2+\sqrt{9\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=5\sqrt2+\sqrt9\cdot\sqrt2=5\sqrt2+3\sqrt2=(5+3)\sqrt2=8\sqrt2[/tex]