Question

Find the Rationalising Factor of the following irrational numbers
1. 3√3
2. 3-√3
3. a+√b
4. √7-√6
5. 3√3+√5
6. 2√3-5√3
7. a√b+c√d​

Answer 1

Answer:

1)Rationalization factor of a number is a number whose product with given number gives a rational number. Here we get a rational number when √3 is multiplied with 3√3. ⇒ 3√3 × √3 = 3 × 3 = 9. Therefore, Rationalization factor of 3√3 is √3

2)Rationalization factor of a number is a number whose product with given number gives a rational number. Here we get a rational number when √3 is multiplied with 3√3. ⇒ 3√3 × √3 = 3 × 3 = 9. Therefore, Rationalization factor of 3√3 is √3.

3)The rationalizing factor of a+ b is a-√b

as the product of these two expressions give a rational number.

4)The rationalizing factor of √7-√6 is √7+√6

5)The rationalizing factor of 3√3+√5 is 3√3-√5

6)The rationalizing factor of2√3-5√3 is 2√5 + √3

7)The rationalizing factor of a√b+c√d is