Math, asked by chandbhuri22, 10 hours ago


2 +  \sqrt{3}  \:
is a



rational
irrational
prime no
even number

Answers

Answered by jay034008
0

Answer:

Let us assume that √2 + 3/√2 is an rational number

Therefore,

√2 + 3/√2 = a / b

[ a and b are coprime number where a and b ≠ 0

• Co prime numbers are those numbers which have only 1 as a common factor ]

By taking LCM

2 + 3 / √2 = a / b

5/√2 = a / b

5b/a = √2

Now, From above it is clear that √2 is rational

But it contradicts the fact that √2 is irrational

Hence, √2 + 3/√2 is irrational

Step-by-step explanation:

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