Question

How do you simplify `sqrt392`?

Answer 1

`14sqrt(2)`

Explanation:

When simplifying roots of Natural numbers it is often useful to express the number as the product of prime numbers.

Note: `392 = 2xx2xx2xx7xx7`

Therefore: `sqrt(392) = sqrt(2xx2xx2xx7xx7)`

For every pair of prime factors can then be taken through the `sqrt` as follows:

`sqrt(392) = 2xx7xxsqrt(2)`

`sqrt(392) = 14sqrt2`