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Surds

n=cr\sqrt{n} = c\sqrt{r}
Coefficient (c)6
Radicand (r)2
Fully simplified?No
3/√b rationalised3√5 / 5
  • Set n = 72 and confirm √72 simplifies to 6√2
  • Find a value of n that is already fully simplified (like a prime number)
  • Set n = 50 and confirm √50 simplifies to 5√2
  • Set n = 12 and confirm √12 simplifies to 2√3
  • Set the denominator to 5 and confirm 3/√5 rationalises to 3√5/5