SOLUTION: when dividing radicals do you keep the same index like 3 radical 135 divided by 3 radical 5 the number 3 is the index of both radical 135 and radical 5

Algebra.Com
Question 563891: when dividing radicals do you keep the same index like 3 radical 135 divided by 3 radical 5 the number 3 is the index of both radical 135 and radical 5
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
root(3,135) / root(3,5) is equal to root(3,135/5)
this says that:
the cube root of 135 divided by the cube root of 5 is equal to the cube root of (135 divided by 5).
in radical form, this looks like:

you can confirm that this is correct by using your calculator to calculate each side of the equation.
= 3
= 3
they're the same.

RELATED QUESTIONS

how do I solve x^5 when it is underneath a radical with the index of 3? (answered by Alan3354)
using rational exponents to write a 2 index radical 7 multiplied by 3 index radical 6 do... (answered by stanbon)
Problem 1 Have I simplified the radical expressions below by rationalizing the... (answered by Boreal,ewatrrr,MathTherapy)
What is the index of a radical? When workjing with radicals can the radicand be negative (answered by stanbon)
What is the index of a radical? When working with radicals can the radicand be negative... (answered by stanbon)
2(radical sign))54 and -2(radical sign) 6a^3 multiply (radical sign)3a When... (answered by Alan3354,MathLover1)
The lengh of the diagonal in quadrilateral A is 5 sqrt(3) where 5 is the index, 3 is the... (answered by MathLover1)
what is 9 to the 15 power under a radical, with the index as... (answered by jim_thompson5910)
I am needing help to solve radicals.. Specifically 2 questions on my homework. 1 of them... (answered by ewatrrr)