SOLUTION: . Rationalize the denominator:
2____
√[6] – √[5]
It came out fuzzy I will retype it
2/sqrt[6]-[5]
. Simplify the ration
Algebra.Com
Question 188648: . Rationalize the denominator:
2____
√[6] – √[5]
It came out fuzzy I will retype it
2/sqrt[6]-[5]
. Simplify the rational expression:
x2 – 3x – 10 find the gcf of the polynomial
x2 – x – 20
. Simplify:
√[144x10y12z18]
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Rationalize the denominator:
2____
√[6] – √[5]
It came out fuzzy I will retype it
2/sqrt[6]-[5]
I think you mean
Multiply NUM and DEN by the conjugate of the DEN
The conjugate is , a sign change.
=
=
-----------------------
. Simplify the rational expression:
x2 – 3x – 10 find the gcf of the polynomial
x2 – x – 20
---------------
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)
------------
The only common factor is (x-5), so that's the GCF.
-----------------
. Simplify:
√[144x10y12z18]
I think you mean:
=
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
Start with the given expression.
Multiply both the numerator and denominator by (the conjugate of the denominator). This will rationalize the denominator
FOIL
Square each term.
Subtract
Reduce
Distribute
So
# 2
Start with the given expression.
Factor to get .
Factor to get .
Highlight the common terms.
Cancel out the common terms. Note: the GCF is and is canceled out.
Simplify.
So simplifies to .
In other words, where or
# 3
Start with the given expression.
Factor into
Factor into
Factor into
Break up the square root using the identity .
Take the square root of to get .
Take the square root of to get .
Take the square root of to get .
Take the square root of to get .
Rearrange and multiply the terms.
==================================================
Answer:
So simplifies to
In other words, where every variable is non-negative.
RELATED QUESTIONS
Rationalize the denominator:
2
______________
√[6] – √[5]
(answered by stanbon)
Rational and Radical Expressions
1. Simplify the rational expression:
x2 – 6x – 7
(answered by gladley)
1. Simplify the rational expression: Please show work
x2 – 6x – 7
x2 – 1... (answered by checkley71)
Rationalize the denominator:
___2____
√[6] – √[5]... (answered by ptaylor)
please show me how to do this.
. Rationalize the denominator:
2/√[6] –... (answered by rapaljer)
Rational and Radical Expressions
1. Simplify the rational expression:
x2 – 6x – 7
(answered by Edwin McCravy)
6. Rationalize the denominator:
2____
√[3] + √[2]
(answered by jim_thompson5910)
Hi,I desperately need help with the following questions:
1. Square root n^2 + 12n +... (answered by jim_thompson5910)
Rationalize the denominator and simplify if possible.
5/(√7-2)
(answered by CubeyThePenguin,ikleyn)