moveforward
moveforward moveforward
  • 17-02-2018
  • Mathematics
contestada

Square root of 2 + square root of 5 / square root of 2 - square root of 5

Square root of 2 square root of 5 square root of 2 square root of 5 class=

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cdw2014
cdw2014 cdw2014
  • 17-02-2018
To simplify the fraction, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate.

The conjugate is the same thing as the denominator with a plus sign instead of a minus sign.

(sqrt(2) + start(5))^2/((sqrt(2) - start(5))(sqrt(2) + start(5)))

FOIL the top and bottom.

The answer is -(7+2sqrt(10))/3





Answer Link
coolboi341
coolboi341 coolboi341
  • 02-04-2020

Answer:

-(7+2sqrt(10))/3

Step-by-step explanation:

Answer Link

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