Math, asked by harshini065, 2 months ago

prove that 7 plus root 5 is irrational​

Answers

Answered by sanmaykamble20062008
0

Answer:

Hence, 7√5 can be written in the form of a/b where a, b are co-prime and b not equal to 0. here √5 is irrational and a/7b is rational number. It is contradiction to our assumption 7√5 is rational number. Therefore, 7√5 is an irrational number.

Answered by amarkoli35
0

Step-by-step explanation:

Let us assume that 7√5 is rational number

Hence, 7√5 can be written in the form of a/b where a, b are co-prime and b not equal to 0.

7√5 = a/b

√5 = a/7b

here √5 is irrational and a/7b is rational number.

Rational number ≠ Irrational number

It is contradiction to our assumption 7√5 is rational number.

Therefore, 7√5 is an irrational number.

Hence, proved.

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