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

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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