SOLUTION: How to solve this type of problem: Rationalize the denominators square root of 5 over 8y^3 I tried to multiply by a conjugate, which I believe would just be 8y^3 And I just g

Algebra ->  Radicals -> SOLUTION: How to solve this type of problem: Rationalize the denominators square root of 5 over 8y^3 I tried to multiply by a conjugate, which I believe would just be 8y^3 And I just g      Log On


   

Question 709471: How to solve this type of problem:
Rationalize the denominators
square root of 5 over 8y^3
I tried to multiply by a conjugate, which I believe would just be 8y^3
And I just got completely lost.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominators
square root of 5 over 8y^3
-----
sqrt[5/(8y^3)]
----
Multiply numerator and denominator by sqrt(2y) to get:
= sqrt[10y/16y^4]
-----
= (1/4y^2)sqrt(10y)
=====================
Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can multiply the top and bottom by
+%281%2F8%29%2Ay%5E%28-3%29+ because, in the denominator,
+%281%2F8%29%2A8+=+1+
+%28+y%5E%28-3%29+%29%2A%28+y%5E3%29+=+y%5E0+
+y%5E0+=+1+, so you have
+sqrt%285%29%2A%28+1%2F8%29%2A%28+y%5E%28-3%29+%29+
+%28+sqrt%285%29%2A+y%5E%28-3%29+%29+%2F+8+
I'm not sure if this is what they want
you might want a 2nd opinion