SOLUTION: Simplify the rational expressions: x^2-6x+5/x^2-25 x^2-9x+8/2x-4 divided by x^2-1/2x+2 Simplify: sqrt[64x^10y^2z^46] Perform the indicated operations:

Question 80214: Simplify the rational expressions:
x^2-6x+5/x^2-25

x^2-9x+8/2x-4 divided by x^2-1/2x+2

Simplify:

sqrt[64x^10y^2z^46]

Perform the indicated operations:
4sqrt[18] + 2sqrt[32] - sqrt[8]

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplify the rational expressions:
x^2-6x+5/x^2-25
Factor to get:[(x-5)(x-1)]/[(x-5)(x+5)]
Cancel to get:(x-1)/(x+5)
=============
x^2-9x+8/2x-4 divided by x^2-1/2x+2
Factor to get:
[(x-8)(x-1)/2(x-2)] / [(x-1)(x+1)/2(x+1)]
Cancel where you can to get:
[(x-8)/(x-2)]
=================
Simplify:
sqrt[64x^10y^2z^46]
=8x^5yz^23
===============
Perform the indicated operations:
4sqrt[18] + 2sqrt[32] - sqrt[8]
12sqrt2 + 8sqrt2 - 2sqrt2
=18sqrt2
===============
Cheers,
Stan H.

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