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Date:___________________

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High School Mathematics
2.57 Rationalizing Radicals Using its Conjugate

If the product of two mixed surds a + b and a - b, where a and b are rational numbers is a rational number. then a + b and a - b are called conjugate radicals.

Example:
Rationalize 8 + 35 using its conjugate.
Solution:
The conjugate of 8 + 35 is 8 - 35
Therefore, rationalising factor of 8 + 35 is 8 - 35
Rationalising 8 + 35 with its conjugate, we get
(8 + 35)(8 - 35)
= 64 - 9*5
= 64 - 45
= 19


Directions: Solve the following problems. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

High School Mathematics
2.57 Rationalizing Radicals Using its Conjugate

Q 1: Rationalise 7 + 45 using its conjugate.
-31
-42
-42
31

Q 2: Rationalise 8 + 53 using its conjugate.
-11
-21
11
21

Q 3: Rationalise 8 - 215 using its conjugate.
4
-4
-6
6

Q 4: Rationalise 7 + 25 using its conjugate.
17
-17
29
-29

Q 5: Rationalise 11 + 215 using its conjugate.
-61
-45
45
61

Q 6: Rationalise 15 + 65 using its conjugate.
-61
45
-45
61

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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