What is the square root of 64/125?

2 Answers
Apr 24, 2018

Answer:

0.7155417528

Explanation:

#(64/125)=0.512#

#sqrt(0.512)#

=0.7155417528

with 2 significant figures= 0.72

with 3 significant figures= 0.716

Apr 24, 2018

Answer:

#color(blue)((8)/(5*sqrt(5)#

Explanation:

#" "#
Simplify #color(red)(sqrt(64/125)#

Rewrite the expression as #color(red)(sqrt(64)/sqrt(125)#

#64=16*4#

#125=25*5#

Using these equivalents,

Rewrite the expression #color(red)(sqrt(64)/sqrt(125)# as

#color(blue)(sqrt(16.4)/sqrt(25*5)#

#rArr (sqrt(16)*sqrt(4))/(sqrt(25)*sqrt(5)#

#rArr (4*2)/(5*sqrt(5)#

#rArr 8/(5*sqrt(5)#

Hence, #color(blue)(sqrt(64)/sqrt(125)=8/(5sqrt(5)#

Hope it helps.