Algebra 2

posted by .

Show that the following numbers are irrational:

1. sqrt3
2. sqrt6

  • Algebra 2 -

    1. Let sqrt3=m/n where m,n-relatively
    primes.
    3n^2=m^2 ==>m multiple of 3, m=3k
    3n^2=9k^2
    n^2=3k^2 ==>n multiple of 3.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math b

    Combine the radicals sqrt 72 + sqrt 18 6sqrt7 - 4sqrt7 Multiply & express in simplest form sqrt5 x sqrt20 1/3sqrt18 x sqrt16 Divide & express in simplest form sqrt80 / sqrt5 sqrt150 / sqrt3 Rationalize the denominator 5 / 2-sqrt3 6 …
  2. Algebra Sq Rt

    This looks like a trick question (sqrt3+5 sqrt6)(sqrt3-5 sqrt6) Do I sq 3 or do I add 3 and 5 first?
  3. Algebra

    (sqrt3+5 sqrt6)(sqrt3-5 sqrt6) DRWLS-Just take the difference of the squares of the two terms, sqrt 3 and 5 sqrt6. Then you will have the answer. It will be a negative integer. 3sqrt is 9 6sq rt is 36 I add 5 to one and subtract 5 …
  4. Algebra

    Find the exact solution(s) of the system: x^2/4-y^2=1 and x=y^2+1 A)(4,sqrt3),(4,-sqrt3),(-4,sqrt3),(-4,-sqrt3) B)(4,sqrt3),(-4,sqrt3) C)(2,1),(2,-1),(4,sqrt3),(4,-sqrt3) D)(4,sqrt3),(4,-sqrt3) I don't know
  5. Algebra

    Rationalize denominator, all variables positive real numbers and denominator is not zero. sqrt3/3 sqrt2 - sqrt3 sqrt3(3sqrt2+sqrt3)/18-3 3 sqrt6+3/18-3 3 sqrt 6+3/15 (is this my answer)
  6. irrational numbers?!

    what are rational and irrational numbers?
  7. Algebra

    Find a polynomial function of degree 3 with the given numbers as zeros. -5, sqrt3, -sqrt3 Would this work as a function for this problem?
  8. Algebra

    28. Use the Distributive Property to simplify x(4x^2 + x + 4) Is it 4x^3 + x^2 + 4x?
  9. Algebra 2

    1. Simplify: sqrt6(sqrt2/2+sqrt3)-sqrt8 2. Simplify: sqrt(72x^3)-5x sqrt(2x) 3. Simplify: (2sqrt6-sqrt3)^2 4. Simplify: 6/3+2sqrt3 5. Solve: 2-y=sqrt(y+4) I need all of the steps. Thanks
  10. math

    Which statements are true for irrational numbers written in decimal form?

More Similar Questions