Respuesta :

mhanifa

Answer:

  • 7√2

Step-by-step explanation:

Given:

  • √8 + √50

We can see that:

  • 8 = 4*2 = 2²*2 and
  • 50 = 25*2 = 5²*2

Since 2² and 5² are perfect squares we get:

  • √8 + √50 =
  • 2√2 + 5√2 =
  • (2 + 5)√2 =
  • 7√2

[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]

[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]

[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]