How do you simplify $(sqrt2 * sqrt8)/2$ ?

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Answer 1 · 2015-04-09T13:01:37

$sqrt(2)$ $*$ 2 $sqrt(2)$ $-:$ 2 =

= 2

Answer 2 · 2015-04-09T13:06:46

$(sqrt2 * sqrtcolor(blue)(8))/2$

$= (sqrt2 * sqrtcolor(blue)(2^3))/2$ (We write 8 as $2^3$ )

$= (sqrt2 * sqrtcolor(blue)(2^2*2))/2$ (We write $2^3$ as $2^2*2$ )

$= (sqrt2 * (cancel2*sqrt2))/cancel2$ $(sqrt(2^2*2) =sqrt(2^2)*sqrt2)$

$= sqrt2 * sqrt2$

$color(green)(= 2$

How do you simplify (sqrt2 * sqrt8)/2(sqrt2 * sqrt8)/2?