Powers, Roots and Standard Form

Recognising them

• Multiplying any integer by itself produces a square number
• Recognising them on sight is what makes square roots and Pythagoras quick, so the first fifteen are worth committing to memory

• Multiplying an integer by itself twice over produces a cube number

• The square root of an integer that is not a square number is irrational
  • √11 is irrational, whereas √121 is simply 11