Question

Find the exact value of the radical expression in simplest form. 5 sqrt 2 + sqrt 2

Answer 1

It's like this, see? (^_^)
You treat the radical \(\large \sqrt2\) as if t were a variable, say, x.

If you were faced with, say, 5x + x, what's the answer (in simplified)?

Answer 2

6x

Answer 3

That's right :)
And dealing with \(\large \sqrt2\) isn't that much different ^_^

So... that said, what is
\[\Large 5\sqrt2 + \sqrt 2\] simplified?

Answer 4

6x

Answer 5

7x

Answer 6

...
...
\[\Large 5\color{blue}x + \color{blue}x = 6\color{blue}x\]\[\Large 5\color{blue}{\sqrt2}+ \color{blue}{\sqrt2 } = \color{red}?\]

Answer 7

5 sqrt 2 + sqrt 2 = 6x?

Answer 8

NO!.
I said \(\Large \sqrt2\) behaves like a variable like x, I didn't say it IS x.

Answer 9

ohhhhhh

Answer 10

So... your answer?

Answer 11

5 + sqrt 2?

Answer 12

I suggest you take a closer look at these:
\[\Large 5\color{blue}x + \color{blue}x = 6\color{blue}x\]
\[\Large 5\color{blue}{\sqrt2}+ \color{blue}{\sqrt2 } = \color{red}?\]

Answer 13

im sorry im really confused is it 6 sqrt 2?

Answer 14

YES.
Exactly ^_^
\[\Large 5\color{blue}{\sqrt 2}+ \color{blue}{\sqrt2}= 6\color{blue}{\sqrt2}\]

Nice to know you get it :)

Answer 15

ty