How do you simplify sqrt1800/sqrt60?

2 Answers
May 17, 2018

sqrt1800/sqrt60=sqrt30

Explanation:

show below

sqrt1800/sqrt60=[sqrt(100*18)]/[sqrt(4*15)]

[10sqrt18]/[2sqrt15]=[10sqrt(9*2)]/[2sqrt15]=[30sqrt2]/[2sqrt15]=[15sqrt2]/[sqrt15]=sqrt15*sqrt2=sqrt30

note that

sqrt15*sqrt15=15

May 17, 2018

See a solution process below:

Explanation:

We can use this rule for radicals to combine the radicals:

sqrt(color(red)(a))/sqrt(color(blue)(b)) = sqrt(color(red)(a)/color(blue)(b))

sqrt(color(red)(1800))/sqrt(color(blue)(60)) => sqrt(color(red)(1800)/color(blue)(60)) => sqrt(30)

Or

sqrt(30) ~= 5.477