Philip P. answered • 06/12/14
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-10/(4-√3)
Multiply by the conjugate: (4+√3)/(4+√3)
Philip P.
The goal of "rationalizing" a rational expression is to eliminate any roots (√) in the denominator. If you have a
monomial (one term) root in the denominator, such as:
√15/√3
Then you just multiply the expression by √3/√3 and you'll get √45/3 = 2√10/3, so you've eliminated the square root in the denominator. If the denominator is a
binomial - two terms added together - such as 4-√3, then you need to use the conjugate, 4+√3 to eliminate the radical in thel denominator:
(4-√3)(4+√3) = 42 + 4√3 - 4√3 - √3√3 = 16-3 = 13
No square root!
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06/13/14
Hello P.
like square root 5 over square root three would be square root 15 over 3
06/13/14