What is the square root of 64/125?

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Answer 1 · 2018-04-24T13:25:42

0.7155417528

$(64/125)=0.512$

$sqrt(0.512)$

=0.7155417528

with 2 significant figures= 0.72

with 3 significant figures= 0.716

Answer 2 · 2018-04-24T14:59:54

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

$" "$
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.