Question

prove that √7 is irrstional​

Answer 1

Answer:

7 is not a perfect square, we cannot find a perfect square root for the number 7

therefore 7 square root will be in a decimal form.. so irrational

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Explanation:

Answer 2

Answer:

yes we can prove that it is irrational.

we have to prove it by contradictory method.

first take that it was rational. and any rational number is in the form of p/ q. so p/ q is root 7. psquare is 7 q square. similarly we can take that p is divisible by q . then let p is 7 c. then p square is 49 c square here p is divisible by 7 and also q is divisible by 7. we know that it has more than one common factor. hence our assumption is wrong. root over 7 is irrational.

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