Is 2(√5+√7) a rational or irrational number?
Mathematics · College · Mon Jan 18 2021
Answered on
Given the number:
2(√5+√7)
Determine if it is rational or irrational.
Explanation:
The given number is rational since it can be express as the ratio of two integers, hence we can only categorize a number to be irrational when it cannot be express as the ratio of two terms, or if it is a complex numbers. To showcase that the given number is rational, we take the square root of each number, then distribute the value of 2.
Solution:
= 2(√5+√7)
= 2 ( 2.24 + 2.65)
Add the values inside the parenthesis.
= 2 ( 4.89)
= 9.78
Final answer:
The given numerical equation is a Rational number