Question

which of the following is rational number 2+√3 and 5- √2 and 9√2 and 6-√4​

Answer 1

Answer:

6-√4

Step-by-step explanation:

only 6-√4 is rational coz 6-√4=6-2=4

Answer 2

Question :

Which of the following is a rational number :

• 2+√3
• 5-√2
• 9-√2
• 6-√4

Answer :

Let's find the values of each option :

• 2+√3

➜ Value of √3 is approximately 1.732050807...

If we observe carefully the value of √3 has the numbers never ending and non repeating . These two are the properties of irrational numbers so 2+√3 will also be irrational .

• 5-√2

➜ The value of √2 is approximately 1.41421356....

Here as well the value of √2 is also never ending and non repeating so , we can I can conclude that √2 is irrational and when 5+√2 is also irrational .

• 9-√2

➜ As conclude above √2 is irrational and when 9-√2 is also irrational .

• 6-√4

➜ The value of √4 = 2

When we substitute 2 in place of √4 we get :

6 - 2 = 4

So the last option is correct being a rational number .