How do you simplify #\frac { \sqrt { 135x ^ { 10} } } { \sqrt { 5x } }#?
1 Answer
Aug 2, 2017
Explanation:
We can also write this as a fraction under a single radical:
#sqrt((135x^10)/(5x))#
No we simplify the fraction algebraically, leaving us with
#sqrt(27x^9#
The prime factorization of
#27 = underbrace(3*3)_1*3#
So we can leave one
#3sqrt(3x^9)#
Now we can see groups of
#underbrace(x*x)_1*underbrace(x*x)_2*underbrace(x*x)_3*underbrace(x*x)_4*x#
We can thus leave an