How do you simplify \frac { \sqrt { 40} } { 10\sqrt { 24} }?

1 Answer
Oct 2, 2017

1/30. sqrt15

Explanation:

Given, sqrt40/(10 sqrt24)

rArr sqrt(2.2.2.5)/[10 sqrt2.2.2.3

rArr(2.sqrt2. sqrt5)/[10. 2.sqrt2. sqrt3

rArr sqrt5/(10 sqrt3)

rArr(sqrt5. sqrt3)/(10. sqrt3. sqrt3) [ multiply by sqrt3 both sides]

rArr sqrt15/(10. 3) = sqrt15/30