Simplify the following: 2√3/3 - √3/6

Solution:

Given, 2√3/3 - √3/6

We have to simplify the expression.

Taking out common terms,

2√3/3 - √3/6 = √3(2/3 - 1/6)

= √3((4-1)/6)

= √3(3/6)

= √3(1/2)

= √3/2

Therefore, 2√3/3 - √3/6 = √3/2

✦ Try This: Simplify the following: 4√2/3 - √2/6

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 9(ix)

Simplify the following: 2√3/3 - √3/6

Summary:

Irrational numbers cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. The simplified form of 2√3/3 - √3/6 is √3/2

☛ Related Questions:

• Rationalise the denominator of the following: 2/3√3
• Rationalise the denominator of the following: √40/√3
• Rationalise the denominator of the following: (3+√2) / 4√2