Check whether −5 + 2 root 5 − root 5 is an irrational or a rational number.
Answers
Answered by
125
Given, -5 + 2√5 - √5
We shall take √5 common in the 2nd and 3rd terms and solve it
-5 + √5 ( 2 - 1 ) = -5 + √5
As we cannot add or subtract rational and irrational numbers, we cannot simplify further.
As the number as a whole contains an irrational number, the whole number is an irrational number.
Hope my answer is helpful..
We shall take √5 common in the 2nd and 3rd terms and solve it
-5 + √5 ( 2 - 1 ) = -5 + √5
As we cannot add or subtract rational and irrational numbers, we cannot simplify further.
As the number as a whole contains an irrational number, the whole number is an irrational number.
Hope my answer is helpful..
Answered by
70
Answer:
Irrational number
Step-by-step explanation:
Given, -5 + 2√5 - √5
We shall take √5 common in the 2nd and 3rd terms and solve it
-5 + √5 ( 2 - 1 ) = -5 + √5
As we cannot add or subtract rational and irrational numbers, we cannot simplify further.
As the number as a whole contains an irrational number, the whole number is an irrational number.
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