Which of the following is not an irrational number? a. 7√5 b. √2 + 2√2 c. (√7 − 3) − √7 d. √3 + 2
Answers
Given : a. 7√5 b. √2 + 2√2 c. (√7 − 3) − √7 d. √3 + 2
To Find : Which of the following given is not an irrational number
Solution:
Real numbers which can be written in the form of p/q
where p , q are integers and q ≠ 0
are rational numbers
all other real numbers are irrational numbers
a. 7√5 is an irrational number as √5 is an irrational number
product of an irrational number with non zero rational number is always an irrational number
√2 + 2√2 = 3√2 is an irrational number as √2 is an irrational number
(√7 − 3) − √7 = - 3
= - 3/1 hence Rational number
√3 + 2 is an irrational number as √3 is an irrational number
Sum of a rational number and irrational number is always an irrational number
Hence (√7 − 3) − √7 is not an irrational number
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Answer
(√7-3)-√7
option c is the correct answer