rationalize the denominator of 1/5+2√3 – InterviewSolution

1.

rationalize the denominator of 1/5+2√3

Answer»

1/5 + 2sqrt(3)

To rationalise denominator Multiply and divide by (5 - 2sqrt (3))

Hence, we get1 * (5 - 2sqrt (3))/(5 + 2sqrt(3)(5 - 2sqrt(3))

= (5 - 2sqrt(3)) / ( 25 - 4*3)

= 5/13 - 2sqrt(3)/13

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