How do you simplify 3 timessqrt 24?

1 Answer
Jim G.
Feb 3, 2016

6sqrt6

Explanation:

to simplify sqrt24

use the law of indices : sqrta xxsqrtb = sqrtab hArr sqrtab = sqrta xx sqrtb

look for factors of 24 , and in particular ' squares ' → 4 , 6

hence sqrt24 = sqrt4 xxsqrt6 = 2sqrt6

rArr 3 xxsqrt24 = 3 xx2sqrt6 = 6sqrt6

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