SOLUTION: Simplified radical form and rationalize all denominator
(3√(7))/(-1-√(27))
Algebra.Com
Question 427605: Simplified radical form and rationalize all denominator
(3√(7))/(-1-√(27))
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplified radical form and rationalize all denominator
(3√(7))/(-1-√(27))
----
Multiply numerator and denominator by (-1+sqrt(27)) to get:
----
= [3sqrt(7)*(-1+sqrt(27))] / [(-1-sqrt(27))(-1+sqrt(27))]
----
= [-3sqrt(7)+3sqrt(7*27)]/[1-27]
----
= [-3sqrt(7)+3*3sqrt(21)]/(-26)
---------------
= [3/26][sqrt(7)-(3/26)sqrt(21)]
=========
Cheers,
Stan H.
===========
RELATED QUESTIONS
Rational and Radical Expressions
1. Simplify the rational expression:
x2 – 6x – 7
(answered by gladley)
Rationalize the denominator:
7/√[3] – √[2]
(answered by nerdybill,CeCe_101,jim_thompson5910)
Rational and Radical Expressions
1. Simplify the rational expression:
x2 – 6x – 7
(answered by Edwin McCravy)
Rationalize the denominator:
2 / √[3] + √[2]
(answered by malakumar_kos@yahoo.com)
Rationalize the denominator:
5____
√[3] + √[5]
(answered by MathLover1)
6. Rationalize the denominator:
2____
√[3] + √[2]
(answered by jim_thompson5910)
Rationalize the denominator:
2 divided by √[3] + √[2]
(answered by stanbon)
Rationalize the denominator:
2____
√[3] + √[2]
(answered by jim_thompson5910)
Rationalize the denominator:
2____
√[3] + √[2]
(answered by vleith)