Question

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Answer 1

\[4\sqrt{\frac{ 1 }{ 2 }}\]
\[4\frac{ 1 }{ \sqrt{2} }\]
times it with 1
\[1=\frac{ \sqrt{2} }{ \sqrt{2} }\]
right ?

Answer 2

so, it would be:
\[4\frac{ 1 }{ \sqrt{2} }\times \frac{ \sqrt{2} }{ \sqrt{2} }\]
\[4\frac{ \sqrt{2} }{ 2 }\]
\[2\sqrt{2}\]

Answer 3

the idea is people do not like sqrt in the "bottom"
to get rid of it, multiply top and bottom by sqr(2)

you should know that sqr(2) * sqr(2) = 2 (Learn sqr(x) * sqr(x) = x )

that is what tblue did

Answer 4

\[\sqrt{1}=1\]
but \[\sqrt{2}=\sqrt{2}\]
to make it easier
u have to times it with 1
ex. \[2 \times1=2\]
still 2 right?

Answer 5

and we can changes 1 by
\[\frac{ \sqrt{2} }{ \sqrt{2} }\]

Answer 6

why we have to times it by 1?
because we have to rationalized that number