How do you simplify the square root of 1/8??

Question

25823 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-26T13:54:48

$sqrt2/4$

$sqrt(1/8)$

$=1/sqrt8$

$=1/(2sqrt2)$

$=1/(2sqrt2)xxsqrt2/sqrt2$

$=sqrt2/4$

Answer 2 · 2018-05-26T13:59:39

$sqrt2/4$

As per the question, we have

$sqrt(1/8)$

$= sqrt1/sqrt8$

$= 1/sqrt(4 * 2)$

$= 1/(2sqrt2)$

Now, we have done half the work, and now we have to rationalize the remaining number to get the most simplified result.

$:. 1/(2sqrt2) * (2sqrt2)/(2sqrt2)$

$= (2sqrt2)/(2sqrt2)^2$

$= (2sqrt2)/(4 * 2)$

$= (2sqrt2)/8$

$= (cancel2sqrt2)/(cancel2 * 4)$

$= sqrt2/4$

Hence, the answer