wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

State whether the following statement is true or false.

The following number is irrational
6+2

A
True
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
False
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A True
An Irrational Number is a real number that cannot be written as a simple fraction.

Let us assume 6+2 is rational.
Hence, 6+2 can be written in form ab

Where, a and b (n0) are co-prime.
Hence, 6+2=ab
2=ab6

2=a6bb

Here, a6bb is a rational number, but 2 is irrational.

Since, Rational Irrational
This is a contriadition
Our assumption is incorrect.
6+2 is irrational number.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Validity of Statements
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon