How do you simplify $6sqrt54$ ?

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Answer 1 · 2017-05-27T15:15:34

$=18sqrt6$

the first step when working with roots is to find the factors of the radicand. ( $54$ ), using squares if possible.

$6sqrt54 = 6 sqrt(9xx6)" "larr$ find the roots if possible.

$6 sqrt(9xx6)" "larr (sqrt9 =3)$

$=6 xx 3sqrt6$

$=18sqrt6$

Answer 2 · 2017-05-27T15:28:22

$color(brown)(18sqrt6$

$6sqrt54$

$:.=6sqrt(3*3*3*2)$

$:.sqrt3 xx sqrt3=3$

$:.=6sqrt(underline(3*3)*3*2)$

$:.=6 xx 3sqrt6$

$:.color(brown)(=18sqrt6$

How do you simplify 6sqrt546sqrt54?