How do you simplify $\sqrt{504}$ $sqrt(504)$ ?

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Answer 1 · 2016-01-10T01:42:54

$6 \sqrt{14}$ $6sqrt14$

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)

$504 = 2^{3} \times 3^{2} \times 7$ $504 = 2^3 xx 3^2 xx 7$

$504 = {(2 \times 3)}^{2} \times 2 \times 7$ $504 = (2xx3)^2 xx2xx7$

$\sqrt{504} = \sqrt{{(2 \times 3)}^{2} \times 2 \times 7}$ $sqrt504 = sqrt((2xx3)^2 xx2xx7)$

$\sqrt{504} = (2 \times 3) \sqrt{2 \times 7}$ $sqrt504=(2xx3)sqrt(2xx7)$

$\sqrt{504} = 6 \sqrt{14}$ $sqrt504=6sqrt14$

$A d d i t i o n a l$ $Additional$ : 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??

How do you simplify √504sqrt(504)?