anonymous
  • anonymous
The square root of 2 is a rational number. True False
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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moongazer
  • moongazer
False
anonymous
  • anonymous
TRUE!!!!
.Sam.
  • .Sam.
Assume that √2 is a rational number. Then there are integers a and b such that a is coprime to b and √2 = a / b. In other words, √2 can be written as an irreducible fraction. -The value of b cannot be 1 as there is no integer a the square of which is 2. -There must be a prime p which divides b and which does not divide a otherwise the fraction would not be irreducible. -The square of a can be factored as the product of the primes into which a is factored but with each power doubled. -Therefore by unique factorization the prime p which divides b, and also its square, cannot divide the square of a. -Therefore the square of an irreducible fraction cannot be reduced to an integer. -Therefore the square root of 2 cannot be a rational number.

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anonymous
  • anonymous
my bad. lol
anonymous
  • anonymous
lol ya it's TRUE ;)
apoorvk
  • apoorvk
false.
anonymous
  • anonymous
true

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