BudJohnson
BudJohnson BudJohnson
  • 17-04-2019
  • Mathematics
contestada

can anybody help me on this?

can anybody help me on this class=

Respuesta :

luisejr77
luisejr77 luisejr77
  • 17-04-2019

Answer: second option.

Step-by-step explanation:

You need to descompose the radicand 8 and the radicand 50 into their prime factors:

[tex]8=2*2*2=2^2*2\\50=2*5*5=2*5^2[/tex]

Then you can rewrite the expression:

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

[tex]=\sqrt{2^2*2}+\sqrt{2*5^2}[/tex]

Since:

[tex]\sqrt{a^2}=a[/tex]

You can simplify the expression:

[tex]=2\sqrt{2}+5\sqrt{2}[/tex]

As the indices and the radicands are the same, you can make the addition:

[tex]=7\sqrt{2}[/tex]

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