How do you simplify 5sqrt3/sqrt12?

1 Answer
Nov 1, 2015

5/2

Explanation:

[1]" "(5sqrt3)/sqrt12

Rationalize the denominator by multiplying to sqrt12/sqrt12.

[2]" "=(5sqrt3)/sqrt12*sqrt12/sqrt12

[3]" "=(5sqrt36)/12

Get the principal square root of 36.

[4]" "=(5(6))/12

[5]" "=30/12

Put in simplest terms.

[6]" "=color(blue)(5/2)