How do you simplify #sqrt(504)#?

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Answer 1 · 2016-01-10T01:42:54

#6sqrt14#

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??