How do you simplify 3sqrt(75)-5sqrt(100)?

2 Answers
Apr 11, 2018

15sqrt3-50

Explanation:

Simply roots
sqrt75=sqrt3*sqrt25
=5sqrt3
sqrt100=10
Substitute back in
3*5sqrt3-5*10=15sqrt3-50

Apr 11, 2018

15 * sqrt (3) - 50

Explanation:

You use the rule that:

( a b ) ^x = a^x b^x

In this case:

3 sqrt (75) - 5 sqrt (100) = 3 sqrt (25 * 3) - 5 * 10

Using the above rule on the left hand part of the expression:

3 sqrt (25) sqrt (3) - 5 * 10 = 3 * 5 * sqrt (3) - 50

= 15 * sqrt (3) - 50