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Rationalize the denominator and simplify

Rationalize the denominator and simplify-example-1

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\frac{22}{4 - \sqrt {5}} * \frac{4 + \sqrt {5}}{4 + \sqrt {5}} =


= \frac{22(4 + \sqrt {5})}{16 - 5}


= \frac{22(4 + \sqrt {5})}{11}


= 2(4 + \sqrt {5})


= 8 + 2\sqrt {5}




User Ant Kennedy
by
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7 votes
22 x (4+√5)
_____ _______
(4-√5) (4+√5) Multiply by the conjugate of the denominator.

= 88 + 22√5 = 88 + 22√5 = 11(8+2√5) = 8+2√5
____________ _________ _________

16+4√5-4√5-5 11 11


Answer: 8 + 2√5

Hope this helps :)
User TauzN
by
8.2k points

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