2√3 + √3 equal to?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

2√3 + √3 is equal to 3√3. It serves as an illustration of adding two illogical numbers. On taking out √3 as the common factor:

2√3 + √3 = (2 + 1) √3.

On simplifying we get:

= 3√3

Properties of Irrational Numbers

Irrational numbers will adhere to all the properties of the real number system since they are subsets of the real number system. The characteristics of irrational numbers are as follows:

  • An irrational number results from adding an irrational number to a rational number. As an illustration, suppose that x is an irrational number, y is a rational number and adding both of these results in the irrational number z.
  • Any irrational number multiplied by any non-zero rational number yields an irrational number. Let’s assume that, contrary to the presumption that x is irrational, x = z/y is rational if xy=z is rational. Consequently, the XY product must be illogical.
  • There could or might not be a least common multiple (LCM) between any two irrational numbers.
  • Two irrational integers can be rationally added together or multiplied; for example, √2. √2 = 2. Here, √2 is an irrational number. If it is multiplied twice, then the final product obtained is a rational number. (i.e) 2.
  • In contrast to the set of rational numbers, the set of irrational numbers is not closed under multiplication.


2√3 + √3 equal to?

2√3 + √3 is equal to 3√3. Since irrational numbers are subsets of the real number system, they will abide by all of its properties. Irrational numbers are those which cannot be represented in the form of a fraction.

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