Question 188648
Rationalize the denominator:
2____
√[6] – √[5]

It came out fuzzy I will retype it

2/sqrt[6]-[5] 
I think you mean
{{{2/(sqrt(6) - sqrt(5))}}}
Multiply NUM and DEN by the conjugate of the DEN
The conjugate is {{{(sqrt(6) + sqrt(5))}}}, a sign change.
= {{{2(sqrt(6) + sqrt(5))/(6-5)}}}
= {{{2sqrt(6) + 2sqrt(5)}}}
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. Simplify the rational expression:
x2 – 3x – 10 find the gcf of the polynomial
x2 – x – 20 
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If you mean the GCF of the 2 polynomials:
x^2 – 3x – 10 = (x-5)*(x+2)
x^2 – x – 20 = (x-5)*(x+4)
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The only common factor is (x-5), so that's the GCF.
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. Simplify:
√[144x10y12z18] 
I think you mean:
{{{sqrt(144x^10y^12z^18)}}}
= {{{12x^5y^6z^9}}}