Math, asked by noormoosa83, 3 months ago

prove that 5+2√7 irrational

Answers

Answered by shivammishra0582
1

Answer:

that's the answer

Step-by-step explanation:

please mark as brainleast answer please

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Answered by lalabindu03gmailcom
0

Answer:-

5+2√7 is an irrational number

Step-by-step explanation:

Let us assume to the contrary, that 5+2√7 is a rational number that is a and b are integers and b is not equal to 0.

5+2√7 = a

b

2√7 = a - 5 , where a and b are co-oprime

b

√7 = a - 5b

2b

Since, a and b are integers therefore a - 5b is a rational

2b

number so √7 is also a rational number.

But we know that √7 is an irrational number.

Therefore, 5+2√7 is an irrational number

Hope it helps you....

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