What is sqrt 9, sqrt 32

With a calculator and crooked numbers

With higher roots you will often need the calculator. The calculators work differently, but the most common key combination is this one.
To type in $$ root 4 (625) $$:

 4 

shift or inf

where small above it: $$ rootn (x) $$

 $$625$$ 

 $$=$$ 



Sometimes irrational numbers come out:

$$ root 6 (8) = 1.41421356237 ... approx 1.41 $$

The name of the key of the nth root looks a little different on each calculator model:
$$ root y (x) $$ or
  $$ root x () $$  

You cannot represent irrational numbers as fractions. They have an infinite number of decimal places and are not periodic.

kapiert.decan do more:

  • interactive exercises
    and tests
  • individual classwork trainer
  • Learning manager

One task at the end

You can face the following tasks:

Calculate $$ root n 64 $$ for the numbers $$ n = 2,3,5 $$.

You substitute the numbers 2 and 3 and 6 for n one after the other.

  • $$ root 2 64 = 8 $$, because $$ 8 ^ 2 = 64 $$
  • $$ root 3 64 = 4 $$, because $$ 4 ^ 3 = 64 $$
  • $$ root 5 64 approx 2.297 $$, calculated with the pocket calculator

The normal square root is therefore also a $$ n $$ - th root, with $$ n = 2 $$.