How do you simplify $sqrt(7497)$ ?

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Answer 1 · 2016-02-10T14:22:22

$sqrt(7497) = 21 sqrt(17)$

Try and factorize $7497$ :

$7497 = 9 * 49 * 17 = 3^2 * 7^2 * 17$

Thus,

$sqrt(7497) = sqrt(3^2 * 7^2 * 17) = sqrt(3^2) * sqrt(7^2) * sqrt(17) = 3 * 7 * sqrt(17) = 21sqrt(17)$

How do you simplify sqrt(7497)sqrt(7497)?