SOLUTION: I am not getting this at ALL :( I am a complete math IDIOT, and I really need the steps to be explained so that I understand, telling me to simplify isn't necessarily something tha

Algebra ->  Radicals -> SOLUTION: I am not getting this at ALL :( I am a complete math IDIOT, and I really need the steps to be explained so that I understand, telling me to simplify isn't necessarily something tha      Log On


   

Question 600805: I am not getting this at ALL :( I am a complete math IDIOT, and I really need the steps to be explained so that I understand, telling me to simplify isn't necessarily something that I understand as I am a hands on (visual learner) and if I can't understand how to perform the steps, then I will surely be lost when it comes time to take my final ... only 2 weeks away, and this is the last class between me and the NURSING PROGRAM :)
Simplifying Radical Expressions :

sqrt(25x^4)

sqrt[3](24x^9)

sqrt[3](32x^8)
Found 3 solutions by mananth, stanbon, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2825x%5E4%29+
sqrt%28+5%2A5%2Ax%5E2%2Ax%5E2%29
5x%5E2



sqrt[3](24x^9)

+sqrt%28%283%29+%2A+%282%2A2%2A2%2A3%2Ax%5E9%29%29
sqrt%283%29+%2A+2x%5E4%2Asqrt%286x%29
sqrt%283%2A6x%29%2A2x%5E4
sqrt%2818x%29%2A2x%5E4
3%2Asqrt%282x%29%2A2x%5E4
6x%5E4sqrt%282x%29


sqrt[3](32x^8)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(25x^4)
= sqrt(25)*sqrt(x^4)
= 5*x^2
=====================
sqrt[3](24x^9)
= cbrt(8x^9)*cbrt(3)
= (2x^3)*cbrt(3)
============================

sqrt[3](32x^8)
= cbrt(8x^6)*cbrt(4x^2)
= (2x^2)*cbrt(4x^2)
=======================
cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use these general rules:
+sqrt%28+a%2Ab%2Ac+%29+=+sqrt%28a%29%2Asqrt%28b%29%2Asqrt%28c%29+
and
+sqrt%28a%5Eb%29+=+a%5E%28b%2F2%29+
--------------------
+sqrt%28+25%2Ax%5E4+%29+=+sqrt%2825%29%2Asqrt%28x%5E4%29+
+sqrt%2825%29%2Asqrt%28x%5E4%29++=+5x%5E2+
--------------------
+sqrt%28+3%2A24x%5E9+%29+ ( is this the problem?)
+sqrt%28+3%2A3+%29%2Asqrt%284%2A2%29%2Asqrt%28+x%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax+%29+ ( sometimes I write it the long way )

+3%2A2%2Asqrt%282%29%2Asqrt%28+x%5E8+%29%2Asqrt%28x%29+
+6%2Asqrt%282x%29%2Ax%5E4+ or
+6x%5E4%2Asqrt%282x%29+
---------------------
+sqrt%28+3%2A32x%5E8+%29+
+sqrt%28+6%2A16x%5E8+%29+
+sqrt%286%29%2Asqrt%2816%29%2Asqrt%28x%5E8%29+
+sqrt%286%29%2A4%2Ax%5E4+ or
+4x%5E4%2Asqrt%286%29+
----------------------
Hope this helps