SOLUTION: Simplify the radical . Assume that all variables represent positive numbers.
square root 8xy^2
___________ _________
square root 5xy
Explain in detail please?
Than
Algebra.Com
Question 37794: Simplify the radical . Assume that all variables represent positive numbers.
square root 8xy^2
_____________________
square root 5xy
Explain in detail please?
Thank you
Answer by junior403(76) (Show Source): You can put this solution on YOUR website!
So we need to simplify the radical...
According to the quotient rule for radicals we need to eliminate the radical sign in the denominator by rationalizing the expression (simply multiplying both the numerator and the denominator by the denominator)Thus creating a square root of a square.
Sounds confusing but its really simple...
= =
Now we just have to simplify the numerator...
40 = 10 * 4 and 4 is a square so it comes out from under the radical as
The same with comes out as
Then the comes out as
So we now have...
And this can be reduced further by canceling the xy variables...
The final result is...
I hope this helps!
Good Luck!
RELATED QUESTIONS
Simplify the radical expression. Assume all variables represent positive real numbers.
(answered by bucky)
simplify the radical; assume that all variables represent positive real numbers. square... (answered by checkley77)
Find the square root. Assume that all of the variables represent positive real numbers. (answered by malakumar_kos@yahoo.com)
Simplify.
Square root of 2xy^5 •Square root of 10x^8y^2
Assume that all variables... (answered by checkley71)
a. (3cubed square root xy)^6
b. square root 3cubed square root x
Use rational... (answered by stanbon)
a. (cubed square root xy)^6
b. square root cubed square root x
Use rational... (answered by Alan3354)
Write the following expression in simplified radical form.
square root 48 t^5 w^4 all... (answered by checkley77)
I have problem finding the square please help?
Simplify, Assume all variables represent... (answered by nerdybill)
Find the square root. Assume that all of the variables represent positive real numbers. (answered by jim_thompson5910)