Question

How do you simplify `sqrt(504)`?

Answer 1

`6sqrt14`

Explanation:

First step for simplification in roots is to find the prime factors of the number.

Here factors of 504 are (You can get them by Prime Factorization)

`504 = 2^3 xx 3^2 xx 7`

`504 = (2xx3)^2 xx2xx7`

`sqrt504 = sqrt((2xx3)^2 xx2xx7)`

`sqrt504=(2xx3)sqrt(2xx7)`

`sqrt504=6sqrt14`

`Additional`: Now let me ask you another question (to strengthen your concepts)

What minimum positive number should you multiply with 504 so that the new number is a perfect square??