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

1 Answer
Nityananda
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#

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