Skip to content
Exit presentation

Real Numbers

Checkpoint: roots with a partner, and three numbers

One question on each of the later ideas. Retry as often as you like.

To prove 7 + √2 irrational, suppose it equals p/q. What is √2 then?

Which number is rational?

What is the HCF of 6, 15 and 21?

What is the LCM of 4, 6 and 9?

For which numbers is HCF × LCM always equal to their product?

0 of 5 answered

Jump to lesson

This track

  1. 0 Start here
  2. 1 Break a number into primes
  3. 2 One set of primes, HCF and LCM
  4. 3 Squares have even powers
  5. 4 A prime that divides a square
  6. 5 The proof for √2 and √3
  7. 6 The proof for √5
  8. 7 What a proof settles
  9. 8 Write the proof in order
  10. 9 A number joined to a root
  11. 10 HCF and LCM of three numbers
  12. 11 Checkpoint: roots with a partner, and three numbers
  13. 12 The big picture
  14. 13 Track quiz

Other tracks