How do you simplify #sqrt(8/36)#?

2 Answers
Shiva Prakash M V
Jun 2, 2018

#sqrt(8/36)=(2/3)sqrt(2)#

Explanation:

#sqrt(8/36)=?#
#sqrt(a/b)=(sqrt(a)/sqrt(b))#
For a=8, b=36;
#sqrt(8/36)=(sqrt(8)/sqrt(36))#
#sqrt(8)=sqrt(4xx2)=sqrt(4)xxsqrt(2)=2sqrt(2)#
#sqrt(36)=6#
#(sqrt(8)/sqrt(36))=(2sqrt(2))/6#
#sqrt(8/36)=(2/3)sqrt(2)#

Bill Jorgensen
Jun 2, 2018

#(sqrt(2))/(3)#

Explanation:

#=sqrt(8/36)#

#= sqrt(8)/sqrt(36)#

#= sqrt(2*2*2)/sqrt(2*2*3*3)#

#= sqrt(2^2*2)/sqrt(2^2*3^2)#

#= (2sqrt(2))/(2*3)#

#= (2sqrt(2))/(6)#

#= (sqrt(2))/(3)#

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