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### High School Mathematics - 21.8 Radicals - Conjugate Surds

 Öa - Öb is the conjugate of Öa + Ö. Example: Rationalise the denominator1/(5-Ö3). Solution: (1/5-Ö3) x (5+Ö3/5+Ö3 Answer: (5 + Ö3)/22 Example: Find the rational number equivalent of 2.44. Solution: Let x = 2.44---1 Multiply both sides by 100. 10 x = 24.4---2 Subtract equation 2 from 1 9x = 22 Answer : 22/9 Directions: Solve the following.
 Q 1: Find the rational number equivalent of 0.13333...2/151/32/3 Q 2: Is 1/5 a rational?YesNo Q 3: Given Ö3 = 1.732, Ö5 = 2.2366/(Ö3, find 6/(Ö5-Ö3)12.111.511.904 Q 4: Evaluate (Ö588 - 5-Ö48)/(Ö1083 - 5-Ö23)231 Q 5: Find the rational number equivalent of2.16*13/513/612/8 Q 6: Find the rational number equivalent of 0.272727.1/91/53/11 Q 7: Rationalise the denominator 1/(Ö3+Ö2-Ö5)1(3Ö2 + 2Ö3 + Ö2 Q 8: Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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