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Irrational N u mbers

Irrational N u mbers . Lesson 5.1. Theorems. is not rational. If n 2 is divisible by a prime p, then n is divisible by p Closed with rational numbers (rational + rational = rational) (rational – rational = rational) (rational x rational = rational)

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Irrational N u mbers

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  1. Irrational Numbers Lesson 5.1

  2. Theorems • is not rational. • If n2 is divisible by a prime p, then n is divisible by p • Closed with rational numbers • (rational + rational = rational) • (rational – rational = rational) • (rational x rational = rational) • (rational ÷ rational = rational)*

  3. Proof by contradiction.. Again  • Prove: When an irrational number is divided by a rational number, the quotient is irrational. Assume, the quotient is rational. , where s is rational I = s x r Contradiction: s x r = rational number Therefore, the quotient is irrational.

  4. Conjugates!

  5. Homework Pages 283 – 284 1 – 5, 8, 10, 12 - 13

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