What is the simplified radical form of $sqrt(45)$ ?

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Answer 1 · 2015-10-12T07:42:29

$=color(blue)(3sqrt5$

Simplifying this expression involves prime factorisation of $45$

$45= 3*3*5$

( $3 and 5$ are the prime factors of $45$ )

So $sqrt(45)=sqrt(3*3*5)$

$=sqrt(3^2 *5)$

$=3*sqrt5$

$=color(blue)(3sqrt5$

What is the simplified radical form of sqrt(45)sqrt(45)?