Rationalise the denominator of the following: 2/3√3
Solution:
Given, 2/3√3
We have to rationalise the denominator.
To rationalise we have to take conjugate,
2/3√3 = 2/3√3 × 3√3/3√3
= 2(3√3)/9(3)
= 2√3/9
Therefore, 2/3√3 = 2√3/9
✦ Try This: Rationalise the denominator of the following: 3/2√2
Given, 3/2√2
We have to rationalise the denominator.
To rationalise we have to take conjugate,
3/2√2 = 3/2√2 × 2√2/2√2
= 3(2√2)/4(2)
= 6√2/8
= 3√2/4
Therefore, 3/2√2 = 3√2/4
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 10(i)
Rationalise the denominator of the following: 2/3√3
Summary:
Rationalizing the denominator means the process of moving a root, for instance, a cube root or a square root from the bottom of a fraction (denominator) to the top of the fraction (numerator). On rationalising the denominator of 2/3√3 we get 2√3/9
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