identify the following as rational or irrational number of ( 7 + root 2 )- (4 + root 2 )
Answers
Answer:
Yes,it is a rational
Step-by-step explanation:
•A rational number is the one which can be expressed in the form p/q where q≠0 and p&q are natural numbers.
•A rational is denoted by the alphabet Q
Question:
(7+√2)-(4+√2)
=7+√2-4-√2
=7-4
=3
→3 is a rational number.
Thus,(7+√2)-(4+√2) is identified as a rational number.
Some important points:
When a rational and an irrational are,
1. Added,the sum is an irrational
2. Subtracted,the difference is an irrational
3. Multiplied,the product is irrational
4. Divided,the solution is an irrational
A rational can be of two types:a terminating decimal or non terminating repeating decimal
E.g., 1.234
7.924924924..............
An irrational is always a non terminating non recurring decimal
E.g., 0.1245680383938762373992..............
4.25379101.............