# 2√3 + √3 is equal to?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

2√3 + √3 is equal to 3√3. Both 2√3 and √3 are irrational numbers. To add them, we will take √3 as common and then will add the remaining numbers 2 and 1. Irrational numbers are the type of numbers that cannot be presented in simple p/q fraction form. The sum of two irrational numbers can be either rational or irrational in nature.

Table of content

## 2√3 + √3

To add 2√3 + √3, we will first have to understand that these both are irrational numbers. Next, we will be taking √3 as common and solving it in the following manner.

2√3 + √3

= √3(2 + 1)

= 3√3

Therefore, 2√3 + √3 = 3√3.

## Irrational Numbers

Irrational numbers are real numbers. However, they also refer to the numbers that are not represented in the simple fractional form i.e. p/q. These numbers are the opposite of rational numbers. Their sum can be either rational or irrational. Irrational numbers are represented as R-Q. These types of numbers do not have a ratio and cannot be terminating or recurring in nature.

Summary:

## 2√3 + √3 is equal to?

The sum of 2√3 + √3 is √3. As these are two irrational numbers, we will first take the common number and then add the rest of the numbers to derive our answer. Irrational numbers are the ones that cannot be expressed as ratios.

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